Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Find the value of a+2b from the equation

$\frac{\sqrt{3}-2}{\sqrt{3}+2}$ = $a+b\sqrt{6}$

Options:

11

9

11

-2

Correct Answer:

9

Explanation:

$\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ = $a+b\sqrt{6}$

By rationalization,

5 + 2\(\sqrt {6}\) = $a+b\sqrt{6}$

On comparing,

a = 5

b = 2

Now put the value of a and b in a+2b,

= 5 + 2(2) = 9