Question

The value of $\sqrt{\frac{16}{25}}$ equals to

• A. $\frac{4}{5}$
• B. $\frac{4}{25}$
• C. $\frac{16}{25}$
• D. $\frac{2}{5}$

Answer 1

The correct option is A

$\frac{4}{5}$

The given expression is $\sqrt{\frac{16}{25}}$

$\sqrt{\frac{16}{25}}$

$=\frac{\sqrt{16}}{\sqrt{25}}$

$=\frac{\sqrt{2\times 2\times 2\times 2}}{\sqrt{5\times 5}}$

$=\frac{\sqrt{2^2\times 2^2}}{\sqrt{5^2}}$

$=\frac{2\times 2}{5}$

$=\frac{4}{5}$