Rationalize \(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} – \sqrt{3}}\)
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(3 √ 15 +11) / 2
- 3 √ 15 -11
- (3 √ 15 -11) / 2
- 3 √ 15 +11
The correct answer is: A
Explanation
\(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}\)
= \((\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}})(\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}})\)
= \(\frac{2\sqrt{15} + 6 + 5 + \sqrt{15}}{5 - 3}\)
= \(\frac{3\sqrt{15} + 11}{2}\)
There is an explanation video available .