Find the square root of 44 in radical form

We have to find the square root of 44

Solution

We will find the square root of 44 by prime factorisation methods

Calculate the prime factors of 44.

The first step is to divide the number 44 with the smallest prime factor, say 2.

44 ÷ 2 = 22

22 ÷ 2 = 11

11 ÷ 11 = 11

So, the prime factors of 44 are written as 2 X 2 X 11

On paring the factors we get

44= 2 X 2 X 11

√44= √(2 X 2 X 11)

√44= 2√11

Answer

The square root of 44 = √44= 2√11

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