Question

The value of $\sqrt{\frac{64x^2}{49y^2}}$ is

• A. $\frac{8x}{7y}$
• B. $\frac{8}{7y}$
• C. $\frac{8x^4}{7y^2}$
• D. $none$

Answer 1

The correct option is A $\frac{8x}{7y}$

$\sqrt{\frac{64x^2}{49y^2}}$

$\Rightarrow$ $\sqrt{\frac{(8x{)}^2}{(7y{)}^2}}$

Taking square root on both sides,

$\Rightarrow$ $\frac{8x}{7y}$

$\therefore$ $\sqrt{\frac{64x^2}{49y^2}}=\frac{8x}{7y}$