Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The value of $\sqrt{6 - \sqrt{17 - 2\sqrt{72}}}$ is closest to:

Options:

2.4

2.7

2.1

1.7

Correct Answer:

2.4

Explanation:

( a - b )2 = a2 + b2 - 2ab

$\sqrt{6 - \sqrt{17 - 2\sqrt{72}}}$

= $\sqrt{6 - \sqrt{(\sqrt{9} - \sqrt{8})^2}}$

= $\sqrt{6 - \sqrt{(3 - \sqrt{8})^2}}$

= $\sqrt{6 - 3 + \sqrt{8}}$

= $\sqrt{3 + 2.82}$

= 2.4