Write the correct answer in the following: The number obtained on… - Vidyadip

MCQ

Write the correct answer in the following:
The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7}-2}$ is

A
$\frac{\sqrt{7}+2}{3}$
B
$\frac{\sqrt{7}-2}{3}$
C
$\frac{\sqrt{7}+2}{5}$
D
$\frac{\sqrt{7}+2}{45}$

✓

Answer

$\frac{\sqrt{7}+2}{3}$
Solution:
$\frac{1}{\sqrt{7}-2}=\frac{1}{\sqrt{7}-2}\times\frac{\sqrt{7}+2}{\sqrt{7}+2}$
$\frac{\sqrt{7}+2}{7-4}=\frac{\sqrt{7}+2}{3}$
Hence, (a) is the correct answer.

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