Question

# What is the least rationalising factor of √72?

A

2

B

7

C

3

D

5

Solution

## The correct option is D √2 We can write 72 as 2×2×2×3×3 ⇒√72=√2×2×2×3×3 =2×3√2=6√2 The rationalizing factor should be such that if we multiply it with 6√2, we get a rational number. Hence, the least rationalising factor is √2 as 6√2×√2=12 which is a rational number. Mathematics

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