Question

Find the square root of $\frac{729}{2116}$.

• A. 26/67
• B. 27/46
• C. 24/47
• D. 23/56

Answer 1

The correct option is B 27/46

$\sqrt{\frac{729}{2116}}=\frac{\sqrt{729}}{\sqrt{2116}}$
$=\frac{\sqrt{3\times 3\times 3\times 3\times 3\times 3}}{\sqrt{2\times 2\times 23\times 23}}$
$=\frac{3\times 3\times 3}{2\times 23}=\frac{27}{46}$