WBCS.LIVE practice question

If a : b = $\sqrt{7}$ : $\sqrt{3}$ , then the value of (3a + 2b) : (3a - 2b) is equal to which of the following?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

$\frac{2 + \sqrt{21}}{(- 2 - \sqrt{21)}}$
$\frac{2 + \sqrt{21}}{(- 2 + \sqrt{21)}}$
$\frac{2 - \sqrt{21}}{(2 + \sqrt{21)}}$
$\frac{2 + \sqrt{21}}{(2 - \sqrt{21)}}$

Correct answer and explanation

Correct answer: $\frac{2 + \sqrt{21}}{(- 2 + \sqrt{21)}}$