Question

What is the least rationalising factor of $\sqrt{44}$?

• A. $\sqrt{5}$
• B. $\sqrt{2}$
• C. $\sqrt{43}$
• D. $\sqrt{11}$

Answer 1

The correct option is D

$\sqrt{11}$

We can write $44$ as $2\times 2\times 11$

$\Rightarrow \sqrt{44}=\sqrt{2\times 2\times 11}$

$=2\sqrt{11}$

The rationalizing factor should be such that if we multiply it with $2\sqrt{11}$, we get a rational number.

Hence, the least rationalizing factor is $\sqrt{11}$ as $2\sqrt{11}\times \sqrt{11}=2\times 11=22,$ which is a rational number