Find the square root of 36

To find the square root of 36 we will factorise it first

Prime factorizing the number 36 we can divide the entire number by 2 such as

By prime factorisation, we know:

36= 2 X 18

18= 2 X 9

9= 3 X 3

Factorization of 36

So prime factorization of 36 is 2 x 2 x 3 x 3 which can be written as (2 x 2 ) X ( 3 x 3)

Pairing the numbers to get the perfect squares we get;

36 = (2 x 3) = 62

Answer

Hence The square root of 36 is 6

Hence, √36 = 6

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