Question

State whether the equality is true or false:

$\frac{3}{\sqrt{5}-\sqrt{2}}=$$\sqrt{5}-2\sqrt{2}$

• A. True
• B. False

Answer 1

The correct option is B False

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

So the given statement is false