How do you find the square root of 20?

We have to find the square root of 20

Solution

We will find the square root using prime factorisation

The prime factorisation of 20 is given below

The first step is to divide the number 20 with the smallest prime factor, say 2.
20 ÷ 2 = 10

Divide 10 by 2

10÷ 2 = 5

Divide 5 by 5
5 ÷ 5 = 1

So, the prime factors are written as

20 = 2 × 2 × 5

On pairing we get

20 = (2 x 2 ) x 5

√20 = √(2 x 2 ) x 5

√20 = 2 √ 5

On substituting √ 5 value we get

√20 = 2 X 2.236

√20 = 4.472

Answer

Hence the square root of 20 is 4.472

√20 = 4.472

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