What Is The Square Root Of 36?

You are here to get the answer to the question of what is the Square Root Of 36, let us see how it is calculated. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 36 square root will be a number which when multiplied by itself gives you the answer 36. Let us see about the Square Root Of 36.

What Is The Square Root Of 36?

The Square Root Of 36 in radical form is written as √36 and the answer to the square root of 36 is 6.

Square Root Of 36

√36 = 6

Square Root Of 36 In Exponential Form

√36 = (36)½

Square Root Of 36 In Radical Form

√36 = √36

How To Find The Square Root Of 36?

To find the square root of 36 there are 2 methods.

Prime Factorization
Long Division Method

Let us find out the square root of 36 by both methods

Prime Factorization

To get the answer to the square root for 36 through the radical form method is very simple.

Now as 36 is a prime number so

36 = 2 x 18
36 = 2 x 2 x 9
36 = 2 x 2 x 3 x 3

So,

√36 = √2x2x3x3

√36 = √(2×3)²

√36 = √(6)²

√36 = 6

Therefore, the answer for √36 = 6

Long Division Method

The Square Root Of 36 in long division method is done in these steps

To find the square root of 36 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will but a bar above it

Step 2:

Write such number on the left side that when we multiplied by itself you get a number that is either <=36. Here you need to write 6 as the divisor as when multiplied 6 by 6 you get 36 and the remainder will be 0.

Your quotient is 6 And your divisor is 6 and the remainder is 0 as you have got your remainder as 0 it cannot be further divided.

So the square root of 36 is 6

Is the Square Root Of 36 Rational or Irrational?

The Square Root Of 36 is a rational number.

As there is the number 6 that when multiplied by itself will give you the answer 36 so it is a perfect square so this number is a rational number.

Also, the square root of 36 is 6, giving you a remainder of 0.

So √36 is a rational number

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FAQ

What Has A Square Root Of 36?

The number 6 is the square root of 36 as 6 x 6 = 36 which makes 36 is a perfect square.

How Do You Simplify √36?

To simplify √36

√36 = √2x2x3x3

√36 = √(2×3)²

√36 = √(6)²

√36 = 6

Is 36 A Perfect Square?

Yes, 36 is a perfect square as 36 = 6 x 6, to square a number you need to multiply a number by itself ad get the perfect square. For example 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are perfect squares.

How Do You Find √ 6?

How to find the Square Root of 6?

To find the square root of 6, we shall first express it in terms of its prime factors. 6 = 2 × 3.
Now, let’s find the square root. √6 = √(2 × 3) √6 = √2 × √3. = 1.414 × 1.732. = 2.449.

How Many Numbers Make 36?

What are the Factors of 36? The factors of 36 are the numbers, which are multiplied in pairs resulting in the original number 36. As the number 36 is a composite number, it has many factors other than one and the number itself. Thus, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Why Is The Number 36 Special?

Jewish tradition holds that the number 36 has had special significance since the beginning of time: According to the Midrash, the light created by God on the first day of creation shone for exactly 36 hours; it was replaced by the light of the Sun that was created on the Fourth Day.

Conclusion

So 6 is the Square Root Of 36 and you can calculate the root of √36 by 2 methods which are the prime factorisation & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 36.