Question

Simplify $\sqrt{\frac{12}{121}}$

• A. $\frac{2\sqrt{3}}{11}$
• B. $\frac{3\sqrt{2}}{11}$
• C. $\frac{5\sqrt{2}}{11}$
• D. None of these

Answer 1

The correct option is A

$\frac{2\sqrt{3}}{11}$

$\sqrt{\frac{12}{121}}=\frac{\sqrt{12}}{\sqrt{121}}$ using rule $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$
$=\frac{\sqrt{2^2\times 3}}{11}$ since 4 is largest perfect square factor of 12
$=\frac{\sqrt{2^2}\times \sqrt{3}}{11}$ using rule $\sqrt{(a\times b)}=\sqrt{a}\times \sqrt{b}$
$=\frac{2\sqrt{3}}{11}$