We have to find the square root of 24
Solution
We will find the square root of 16 by prime factorisation methods
Calculate the prime factors of 16.
24 ÷ 2 = 12
Again, divide 12 by 2.
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
The prime factorisation of 24 are 2 × 2 × 2 × 3
24 = 2 × 2 × 2 × 3
On paring we get
24 = (2 × 2) × 2 × 3
√24= √(2 x 2) √ 2 x √3
√24= 2 x √6
√24= 2√6
Answer
The square root of 24 = √24 = 2√6
