Find the square root of 24 in radical form

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

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