Question

The value of $\sqrt{\frac{36}{49}}$ equals to

• A. $\frac{6}{7}$
• B. $\frac{7}{6}$
• C. $\frac{36}{7}$
• D. $\frac{6}{49}$

Answer 1

The correct option is A

$\frac{6}{7}$

The given expression is $\sqrt{\frac{36}{49}}$

$\sqrt{\frac{36}{49}}$

$=\frac{\sqrt{36}}{\sqrt{49}}$

$=\frac{\sqrt{2\times 2\times 3\times 3}}{\sqrt{7\times 7}}$

$=\frac{\sqrt{2^2\times 3^2}}{\sqrt{7^2}}$

$=\frac{2\times 3}{7}$

$=\frac{6}{7}$