Question

$\text{Evaluate}:\sqrt{\frac{441}{961}}.$

• A. $23/31$
• B. $21/31$
• C. $29/39$
• D. $29/31$

Answer 1

The correct option is B $21/31$

$\sqrt{\frac{441}{961}}=\frac{\sqrt{441}}{\sqrt{961}}$

Now, we find the square roots of 441 and 961 separately.

$\text{Thus},\sqrt{441}=21\text{and}\sqrt{961}=31$

$\Rightarrow \sqrt{\frac{441}{961}}=\frac{\sqrt{441}}{\sqrt{961}}=\frac{21}{31}$