The value of $\sqrt{5+\sqrt[3]{59+\

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

The value of $\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{31+\sqrt[3]{27}}}}}$ is

Options:

Correct Answer:

Explanation:

$\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{13+\sqrt[3]{27}}}}}$

= $\sqrt{5+\sqrt[3]{59+\sqrt{21+\sqrt{13+3}}}}$

= $\sqrt{5+\sqrt[3]{59+\sqrt{21+4}}}$

= $\sqrt{5+\sqrt[3]{59+5}}$

= $\sqrt{5+\sqrt[3]{64}}$

= $\sqrt{5+4}$

= 3

The correct answer is Option (1) → 3