The square root of 36 is expressed as √36 in the radical form and as (36)½ or (36)0.5 in the exponent form. The square root of 36 is 6. It is the optimistic solution that the equation x2 = 36. The number 36 is a perfect square.

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Square source of 36: 6Square root of 36 in exponential form: (36)½ or (36)0.5Square root of 36 in radical form: √36
1.What Is the Square root of 36?
2.Is Square root of 36 Rational or Irrational?
3.How to discover the Square source of 36?
4.faqSection

The square source of a number is a number whose square provides the initial number. Because that example, to uncover the square root of 36 (which is denoted by √36), we have to think the a number who square is 36You can remember that this way: when the square move from one side to the various other side of the equation, it i do not care the square root.

62 = 36√36 = 6

Thus, the square source of 36 is 6.


A reasonable number can be expressed as a fraction of integers. We already found that

√36 = 6 = 6/1

So we can express √36 as a fraction of integers and hence that is a reasonable number.

√36 is a reasonable number.

We can find the square root of 36 using miscellaneous methods.

Repeated Subtraction Prime FactorizationEstimation and also ApproximationLong Division

If you desire to learn an ext about every of this methods, click here.

We know that 36 is a perfect square, so we can uncover its square root using the element factorization method easily.

Square root of 36 utilizing Prime Factorization

The element factorization of 36 is as follows:

36 is: 36 = 2 × 2 × 3 × 3

To find the square source of 36, us take one number from each pair of the same numbers and multiply them.

√36 = 2 × 3 = 6

Square root of 36 By Long Division

The square source of 36 deserve to be discovered using the long division as follows.

Think that a number which as soon as multiplied by itself gives

a number that is less than or same to 36a number the is very close come 36

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Since the remainder is 0, we carry out not have to proceed through long department further and we consider the quotient (which is 6) together the result.

√36 = 6

Explore square roots utilizing illustrations and also interactive examples.


Think Tank:


Can the value of √36 be -6 as well?Hint: Think what is (-6)2Is √-36 a real number?Hint: Think whether there is any kind of real number who square is negative.

Important Notes:


If we execute not have pairs the the very same numbers as above, then the prime factorization cannot be used to uncover the exact square root. Instead, we need to use the long department method.The element factorization technique is offered to write a square source of a non-perfect square number in the easiest radical form.

For example: 18 = 2 × 3 × 3 = 2 × 32So, √18 = √2 × √32 = 3√2


Square source of 36 Solved Examples


Example 1

Jack is instructed to find the square root of 36 using the laws of exponents. Have the right to we help him through this?

Solution

The square root can be constantly replaced v the exponent 1/2.√36 = 36½  = (62)½ 

Since 62 = 36 = 6 <(am)n = amn>Thus, √36 = 6


Example 2

There room as plenty of seats in a minivan as the variety of rows in it. If there room 36 seats in it, then how numerous rows are there?

Solution

Let united state assume the variety of seats in the minivan is y.By the provided information,y×y = 36y2 = 36 By acquisition the square source on both sides,√y2 = √36We recognize that the square source of y2 is y.Also, we know that 62 = 36 and also so the square root of 36 is 6y= 6

The variety of rows = 6


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FAQs on the Square root of 36

What is the value of the Square source of 36?

The square source of 36 is 6.

Why is the Square source of 36 a rational Number?

Upon prime factorizing 36 i.e. 22 × 32, we find that all the prime determinants are in even power. This implies that the square root of 36 is a positive integer. Therefore, the square root of 36 is rational.

What is the Square source of -36?

The square source of -36 is an imagine number. It have the right to be written as √-36 = √-1 × √36 = ns √36 = 6iwhere ns = √-1 and also it is called the imagine unit.

What is the worth of 19 square root 36?

The square root of 36 is 6. Therefore, 19 √36 = 19 × 6 = 114.

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Evaluate 10 to add 13 square source 36

The offered expression is 10 + 13 √36. We understand that the square root of 36 is 6. Therefore, 10 + 13 √36 = 10 + 13 × 6 = 10 + 78 = 88

Is the number 36 a Perfect Square?

The prime factorization of 36 = 22 × 32. Here, all the numbers are in the strength of 2. This means that the square source of 36 is a positive integer. Therefore, 36 is a perfect square.