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
