Question

Find the square of $\frac{2\sqrt{5}}{5}$

• A. $\frac{3}{5}$
• B. $\frac{2}{5}$
• C. $\frac{4}{5}$
• D. $\frac{1}{5}$

Answer 1

The correct option is C

$\frac{4}{5}$

Square of $\frac{2\sqrt{5}}{5}$ is $\frac{2\sqrt{5}\times 2\sqrt{5}}{5\times 5}$

$=\frac{4\times 5}{25}$

$=\frac{4}{5}$