Question

State True or False, if the expression $\frac{10}{\sqrt{7}-\sqrt{5}}$$=5(\sqrt{7}+\sqrt{5})$, after rationalising the denominator.

• A. True
• B. False

Answer 1

The correct option is A True

Given that,

$\frac{10}{\sqrt{7}-\sqrt{5}}$

$multiplyinganddividingby\sqrt{7}+\sqrt{5}$

$\frac{10}{\sqrt{7}-\sqrt{5}}.\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}+\sqrt{5}}=\frac{10(\sqrt{7}+\sqrt{5})}{7-5}=\frac{10(\sqrt{7}+\sqrt{5})}{2}=5(\sqrt{7}+\sqrt{5})$