Question

Evaluate and state true or false

$\sqrt{\frac{25}{32}\times 2\frac{13}{18}\times 0.25}$ is $\frac{35}{48}$

• A. True
• B. False

Answer 1

The correct option is A True

$\sqrt{\frac{25}{32}\times 2\frac{13}{18}\times 0.25}$
$=\sqrt{\frac{25}{32}\times \frac{49}{18}\times \frac{25}{100}}$
$=\sqrt{\frac{5^2}{2^5}\times \frac{7^2}{9\times 2}\times \frac{1}{2^2}}$
$=\sqrt{\frac{5^2}{2^6}\times \frac{7^2}{3^2}\times \frac{1}{2^2}}$
$=\frac{5\times 7}{2^4\times 3}$
$=\frac{35}{48}$