Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify $\frac{\sqrt{81}+\sqrt[3]{64}}{\sqrt{3^3+4^2+\sqrt[3]{216}}}$

Options:

$\frac{17}{7}$

$\frac{13}{7}$

$\frac{12}{13}$

$\frac{13}{17}$

Correct Answer:

$\frac{13}{7}$

Explanation:

$\frac{\sqrt{81}+\sqrt[3]{64}}{\sqrt{3^3+4^2+\sqrt[3]{216}}}$

= \(\frac{9 + 4}{ \sqrt {27 + 16 + 6} }\)

= \(\frac{13}{ \sqrt {49}}\)

= $\frac{13}{7}$