The value of $\sqrt{11 + 2\sqrt{18}}$ is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The value of $\sqrt{11 + 2\sqrt{18}}$ is closest to:

Options:

4.4

4.8

3.8

4.1

Correct Answer:

4.4

Explanation:

We know = ( a + b )² = a² + b² + 2ab

Given = $\sqrt{11 + 2\sqrt{18}}$

$\sqrt{11 + 2\sqrt{18}}$ = $\sqrt{(3 + \sqrt{2}})^2$

$\sqrt{11 + 2\sqrt{18}}$ = ( 3 +1.41)

$\sqrt{11 + 2\sqrt{18}}$ = 4.4