Question : $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$ is equal to:
Option 1: $3\sqrt{6}$
Option 2: $2\sqrt{6}$
Option 3: $4\sqrt{6}$
Option 4: $2$
Correct Answer: $2$
Solution :
Given $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$
Simplifying this expression by factorising the values,
$\frac{\sqrt{2\times2\times2\times 3} + \sqrt{2\times2\times2\times3\times3\times3}}{\sqrt{2\times2\times2\times2\times2\times3}}$
= $\frac{\sqrt{4\times6} + \sqrt{6\times36}}{\sqrt{6\times16}}$
= $\frac{2\sqrt{6} + 6\sqrt{6}}{4\sqrt{6}}$
= $\frac{8\sqrt{6}}{4\sqrt{6}}$
= $\frac{8}{4}$
= $2$
Hence, the correct answer is 2.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
