Find the sum of the following series (with infinite terms):... | Quantitative Ability and Data Interpretation | SolveeIt | Solveeit

Today, August 24

Question

Find the sum of the following series (with infinite terms):
$2\sqrt2, \frac4{\sqrt3}, \frac{4\sqrt2}{3}, .....$

A

$2\sqrt3 (\sqrt3+\sqrt2)$

B

$2\sqrt3 (\sqrt3-\sqrt2)$

C

$2\sqrt6 (\sqrt3+\sqrt2)$

D

$2\sqrt6 (\sqrt3-\sqrt2)$

Answer

$2\sqrt6 (\sqrt3+\sqrt2)$

Explanation

Solution

The Correct option is (C): $2\sqrt6 (\sqrt3+\sqrt2)$