Simplify $\sqrt{54-\sqrt{20+\sqrt{32-\sq

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify $\sqrt{54-\sqrt{20+\sqrt{32-\sqrt{49}}}}$

Options:

$\sqrt{17}$

$3\sqrt{17}$

Correct Answer:

Explanation:

$\sqrt{54-\sqrt{20+\sqrt{32-\sqrt{49}}}}$

sqrt{49} = 7

32-7 = 25

sqrt{25} = 5

20+5 = 25

sqrt{25} = 5

54-25 = 49

sqrt{49} = 7

The correct answer is Option (2) → 7