Find the square root of 32

To find the square root of 32 we will factorise it first

Prime factorizing the number 32 we can divide the entire number by 2 such as

32= 2 x 16

16= 2 x 8

8 = 2 x 4

4 = 2 x 2

Factorization of 32

So prime factorization of 32 is 2 x 2 x 2 x 2 x 2 which can be written as (2 x 2 ) X ( 2 x 2) x (2)

√(2×2)×(2×2)×2

= √ (22) X (22) X 2

= 2 X 2 X √ 2 { √ (22)= 2}

= 4√ 2

The square root of 32 which is 4√ 2 or √32=4√ 2

Answer

Hence The square root of 32 is 4√ 2

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