Question

Write down the value of:
${\left(\frac{3}{2}\sqrt{2}\right)}^2$

• A. $\frac{9}{4}$
• B. $9$
• C. $\frac{9}{2}$
• D. $\frac{9}{8}$

Answer 1

The correct option is C $\frac{9}{2}$

$\left(\right(\frac{3}{2})\sqrt{2}{)}^2$

$={\left(\frac{3}{2}\right)}^2\times (\sqrt{2}{)}^2$

$=\left(\frac{9}{4}\right)\times 2$

$=\left(\frac{9}{2}\right)$