How do I find out the square root of a perfect square

Answers

Answer 1
The square root of a number (let’s say 25) refers to that number which when multiplied by itself will give the result as the given number (i.e. 25). In our case, the number is 5. We see that 5, when multiplied by itself (i.e. 5), will result in 25. Therefore, 25 is known as the square of 5, and 5 is known as the square root of 25.

Note:

(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.

(2) The square root of 1 is always 1.

We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)

Note:

(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.

(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.



There are two types of numbers:

Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.

Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.

Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.

For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.



Now coming to our main topic, i.e., how to find the square root of a number?

(A) Perfect Square Numbers:-

Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

Related Questions

A set of prime number between 5 and 15 . express it in listing and set builder methods. ​

Answers

Answer:

Step-by-step explanation:

{7,11,13}

Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?

Answers

Answer:

[tex]V_f=450ml/hr[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]m=15kg[/tex]

Amount of NaCl IV [tex]n=0.9\%[/tex]

Rate [tex]R=30ml/kg/hr[/tex]

Generally the equation for fluid rate be for your IV pump is mathematically given by

[tex]V_f=mR[/tex]

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

[tex]V_f=15*30[/tex]

[tex]V_f=450ml/hr[/tex]


In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?

Answers

Answer:

300

Step-by-step explanation:

3:120 =1:60 ==300:12000

Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.

Answers

Answer:

No

7

Step-by-step explanation:

We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:

392 = 2 x 196

Again, 196 is divisible by 2, so we get:

392 = 2 x 2 x 98

And 98 is also divisible by 2:

392 = 2 x 2 x 2 x 49

49 is 7 times 7, so we can finish the prime factorization of 392:

392 = 2 x 2 x 2 x 7 x 7

This is the same as:

392 = 2^3 x 7^2

We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.

In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).

If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year

Answers

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

Find the exact value of x.

Answers

Answer:

x =9 ,6

Step-by-step explanation:

4(a)+8-a,if a=-2 evaluate each expression

Answers

Answer:

2

Step-by-step explanation:

4(a)+8-a

Combine like terms

4a-a +8

3a+8

Let a = -2

3(-2)+8

-6 +8

2

The sum of (-12) and (5) is

(A) 6 (B) 8 (C) -7

Answers

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

[tex]( - 12) + (5) \\ = 7[/tex]

Need helppppp asappppp

Answers

it´s a polygon. letter c (decagon) should be right

hope it helps :)

sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Answers

Answer: Around 68.0858 m

Step-by-step explanation:

Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35

To find x                            To find y  

[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex]                     [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]

To find the height of the building, add the x-value and y-value:

[tex]x+y=26.3744+41.7114=68.0858[/tex]  

I hope this is correct o_o

a cube plus b cube is equal to a + b whole (a square minus a b + b square whole) ​

Answers

Answer:

a =b

Step-by-step explanation:

HELPPP PYTHAGOREAN THEOREM

Answers

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet


17. Write an equation in slope-intercept form for the line that passes through (0,6) and
is parallel to the line described by y = 2x +3.

Answers

Answer:

y = 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

The line passes through (0, 6 ) ⇒ c = 6

y = 2x + 6 ← equation of parallel line

The inequality X+C > -2.55 has the solution x> 4.85 What is the value of c? How do you know?​

Answers

Answer:

The value for C is 2.3

in this case we know of x to be 4.85

therefore subtract the summation of both X+C from the value of x.

Hence we will have the equation X - X+C =2.3

Set up the ratio for cos(A)

Answers

Answer:

21/35

Step-by-step explanation:

Recall that Cos = Adjacent/Hypotenuse

We want to find Cos A

The adjacent of A is 21 and the hypotenuse is 35

So cos A would equal 21/35

Write the ratio $150 : $450 : $750 in its simplest form.

Answers

Lets do

[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]

[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]

Simplified ratio is

[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0
A. Two
B. Three or one
C. One
D. Two or zero

Answers

The possible number of positive real solutions for the given polynomial equation is; Option C; One

We are given the polynomial;

5x³ + x² + 7x - 28 = 0

We can use descartes rule of signs to find the number of positive real zeros of the polynomial.

This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.

In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.

Read more at; https://brainly.com/question/9624325

Answer:

D

Step-by-step explanation:

.......................

toán lớp 8
giải bất phương trình: 2x + 2 > 4

Answers

Answer:

x>1

Step-by-step explanation:

Answer:

x>1

I hope it will help you

change the following to grams only
a. 7kg 85g
b. 6kg 346g
c. 5kg 342g​

Answers

Answer:

a) 7085g

b) 6346g

c) 5342g

Step-by-step explanation:

1kg = 1000g

4000 people were randomly selected for a survey. It was found that 50% read the newspapers in Nepali language, 45% read the newspapers in English language and 25% read neither of them. How many families read the both? Also, find the number of families who read exactly one kind of these papers. +​

Answers

Answer:

1) 800 (read the both) 2) 2200 (read exactly one)

Step-by-step explanation:

Find the people (families) who read neither of them

4000/100*25= 1000

It means that the rest 4000-1000= 3000 families read the newspapers at least  in one language  from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali

4000/100*45= 40*45=1800 - readers in English.

2000+1800= 3800- the special amount, that consists of 1) only Nepali readers

2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)

The real quantity of only Nepali readers, only English readers and both language readers is 3000.

S0 3800-3000= 800 people - read in two languages

3000-800=2200 families read exactly one kind of these papers

PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + (k-1) = 2,
6x + 2y - 3z = 1
kx - z = -3
has no solutions. What is this value of k?

Answers

In matrix form, the given system is written as

[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]

and the system has no solution is the coefficient matrix is singular. The determinant is

[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]

and this is zero when k = 4/3.

On the other hand, in case you are missing a factor of z in the first equation, so that the system should read

x + y + (k - 1) z = 2

6x + 2y - 3z = 1

kx - z = -3

reframing it as a matrix equation gives

[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]

Then the determinant of the coefficient matrix is

[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]

and the determinant is zero at two values, k = (-1 ± √33)/4.

SOMEONE HELP ME PLEASE

Answers

Answer: P (4 or even) = 1/2 = 50% = 0.5

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers: 6

Numbers of 4 = 1

Numbers of even = 3

[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]

P (4 or even) = Favorable / Total (refer to attachment)

P (4 or even) = [(1 + 3) - 1] / 6

P (4 or even) = (4 - 1) / 6

P (4 or even) = 3 / 6

P (4 or even) = 1 / 2

Hope this helps!! :)

Please let me know if you have any questions

Can someone please help me with this problem!!

Graph g(x)= -5^x +5

Answers

If you’re asking me to graph that, here it is!
If you are trying to find the X and Y intercept the answer is

X-intercept-(1,0)
Y -intercept-(0,4)
I hope this helped ! :)


Multiply the polynomials.

Answers

C)
x^3 - 4x^2 - 16x + 24

Find the length of side x in simplest radical form with rational denominator.

Answers

Answer:

sqrt(20)

Step-by-step explanation:

The two perpendicular side lengths are equal, so using Pythagoras theorem:

x = sqrt( sqrt(10)^2 + sqrt(10)^2 )

x = sqrt(10 + 10)

x = sqrt(20)

Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

Write out the first five terms of the sequence.

an = n - 6

Answers

Answer:

-6, -5, -4, -3, -2

or

-5, -4, -3, -2, -1

depending on if N starts at 0 or 1

Step-by-step explanation:

If n starts at 0 then the first 5 terms are the following,

-6, -5, -4, -3, -2

If n starts at 1 then the first 5 terms are these,

-5, -4, -3, -2, -1

Usually starts from 0. In this case is :-6,-5,-4,-3,-2

Express x^2-8+5 in the form (x-a)^2-b where a and b are integers

Answers

Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

Must show work! PLEASE DO THIS ASAP!
No links

Answers

Answer:

37.68

Step-by-step explanation:

The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68

[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]

r = 6 inches

π = 3.14

[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]

Which is equivalent to the expression below?
3√3 + √6 + √12 - 2√3
A. 5√3
B. 3√3 + 6
C. 2√3 - √21
D. 5√3 - 6

Answers

Answer:

3√3 + √6 is the answer. so none is correct.

Step-by-step explanation:

= 3√3 + √6 + √12 - 2√3

= 3√3 + √6 + √4 X 3 - 2√3

= 3√3 + √6 + 2√3 - 2√3

= 3√3 + √6

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