How do you find the square root of 56 in radical form?

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two.

Finding the square root of 56 in radical form

We will find the square root of 56 by prime factorisation method

The prime factorisation of 56 can be written as:

Step 1: The first step is to divide the number 56 with the smallest prime factor, say 2.

56 ÷ 2 = 28

Step 2: You will get a fractional number if you divide 28 by 2.

28 ÷ 2 = 14

Step 3: Divide 14 by 2

14 ÷ 2 = 7

Now 7 is a prime number

7 ÷ 7 = 1

Finally, we have received number 1 at the end of the division process. So that we cannot proceed further.

So, the prime factors of 56 are written as 7 × 2 × 2 × 2

On paring we get

56 = (2×2) x 2 x 7

Square root of 56 = √56= √(2×2) x 2 x 7

= √56= 2√14

√56= 2√14

Answer

Hence, the square root of 56 = √56=2√14

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