Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x = 3 + 2\sqrt{2}$, x > 0, then the value of $\sqrt{x}-\frac{1}{\sqrt{x}}$ is:

Options:

1

$\sqrt{2}$

2

$2\sqrt{2}$

Correct Answer:

2

Explanation:

If $x = 3 + 2\sqrt{2}$

then \(\sqrt {x}\) = \(\sqrt {2}\) + 1

$\frac{1}{\sqrt{x}}$ = \(\sqrt {2}\) - 1

$\sqrt{x}-\frac{1}{\sqrt{x}}$ = \(\sqrt {2}\) + 1 - \(\sqrt {2}\) + 1 = 2