Question

State True or False.

If $x=3-2\sqrt{2}$, then the value of $\frac{1}{x}$$=3+2\sqrt{2}$.

• A. True
• B. False

Answer 1

The correct option is A True

$x=3-2\sqrt{2}\frac{1}{x}=\frac{1}{3-2\sqrt{2}},rationalizethedenominator,\frac{3+2\sqrt{2}}{(3-2\sqrt{2})(3+2\sqrt{2})}=\frac{3+2\sqrt{2}}{9-8}=3+2\sqrt{2}$