Question

Rationalize the denominator of $\frac{5}{\sqrt{3}-\sqrt{5}}$

• A. -5(√3+√5)/2
• B. -5(√3+√5)/4
• C. -3(√3+√5)/2
• D. -(√3+√5)/2

Answer 1

The correct option is A

-5(√3+√5)/2

$\frac{5}{\sqrt{3}-\sqrt{5}}\times \frac{\sqrt{3}+\sqrt{5}}{\sqrt{3}+\sqrt{5}}$=$\frac{5(\sqrt{3}+\sqrt{5})}{3-5}$=$\frac{-5(\sqrt{3}+\sqrt{5})}{2}$