Question

The value of ${\left(16\frac{1}{4}\right)}^2$ is equal to

• A. $256\frac{1}{16}$
• B. $264\frac{1}{16}$
• C. $264\frac{1}{8}$
• D. $256\frac{1}{8}$

Answer 1

The correct option is B

$264\frac{1}{16}$

${\left(16\frac{1}{4}\right)}^2$ can be written as

$\left(16\frac{1}{4}\right)\times \left(16\frac{1}{4}\right)$

$=(16+\frac{1}{4})\times (16+\frac{1}{4})$

$=16\times 16+16\times \frac{1}{4}+\frac{1}{4}\times 16+\frac{1}{4}\times \frac{1}{4}$

$=256+4+4+\frac{1}{16}$

$=264\frac{1}{16}$