Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ x = 1 + \sqrt{2}$, then find the value of $\sqrt{x} +(\frac{1}{\sqrt{x}})$.

Options:

2.1014

2.1973

1.9876

1.9996

Correct Answer:

2.1973

Explanation:

If $ x = 1 + \sqrt{2}$,

then find the value of $\sqrt{x} +(\frac{1}{\sqrt{x}})$

If $ x = 1 + \sqrt{2}$

then, x = 2.41  ( because $\sqrt{2}$ = 1.41 )

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

= \(\frac{2.41 + 1}{2.41}\) = \(\frac{3.41 }{1.55}\) = 2.1973