Question

State whether True or False: $\frac{\sqrt{6}-\sqrt{5}}{\sqrt{6}+\sqrt{5}}=$$5-2\sqrt{6}$

• A. True
• B. False

Answer 1

The correct option is B False

$Werationalizethedenominator,\frac{\sqrt{6}-\sqrt{5}}{\sqrt{6}+\sqrt{5}}\ast \frac{\sqrt{6}-\sqrt{5}}{\sqrt{6}-\sqrt{5}}=\frac{6+5-2\sqrt{30}}{6-5}=11-2\sqrt{30}$