Question

The value of $\sqrt{2\frac{1}{4}}$ is equal to

• A. $\frac{3}{4}$
• B. $\frac{9}{2}$
• C. $\frac{3}{2}$
• D. $\frac{9}{4}$

Answer 1

The correct option is C

$\frac{3}{2}$

The given expression is $\sqrt{2\frac{1}{4}}$

$=\sqrt{2\frac{1}{4}}$

$=\sqrt{\frac{9}{4}}$

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

$=\sqrt[2]{2\frac{3^2}{2^2}}$

$=\frac{3}{2}$