Question

State whether True or False: $\frac{\sqrt{3}+1}{\sqrt{3}-1}=$$\sqrt{5}+\sqrt{2}$

• A. True
• B. False

Answer 1

The correct option is B False

$Werationalizethedenominator,\frac{\sqrt{3}+1}{\sqrt{3}-1}\ast \frac{\sqrt{3}+1}{\sqrt{3}+1}=\frac{1+3+2\sqrt{3}}{3-1}=\frac{4+2\sqrt{3}}{2}=2+\sqrt{3}$\\ \\