Find the square root of 50

To find the square root of 50 we will factorise it first

Prime factorizing the number 50 we can divide the entire number by 2 such as

By prime factorisation, we know:

50 = 2 X 25

25= 5 X 5

Factorization of 50

So prime factorization of 50 is 2 x 5 x 5 which can be written as (2 ) X ( 5 x 5)

Pairing the numbers to get the perfect squares we get;

18 = (2) x (52)

Answer

Hence The square root of 50 is 5√2

Hence, √50 = 5√2

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