Question : If $a = 64$ and $b = 289$, then the value of $\sqrt{\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}}}$ is:
Option 1: $2^{\frac{1}{2}}$
Option 2: $2$
Option 3: $4$
Option 4: $–1$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $2^{\frac{1}{2}}$
Solution :
Given: $a = 64$ and $b = 289$
The given expression is $\sqrt{\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}}}$.
Substitute the value of $a = 64$ and $b = 289$ in the above equation, we get,
$=\sqrt{\sqrt{\sqrt{64}+\sqrt{289}}-\sqrt{\sqrt{289} - \sqrt{64}}}$
$=\sqrt{\sqrt{8+17}-\sqrt{17-8}}$
$=\sqrt{\sqrt{25}-\sqrt{9}}$
$=\sqrt{5-3}$
$=2^{\frac{1}{2}}$
Hence, the correct answer is $2^{\frac{1}{2}}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
