Question

Which of the following has the same value as the expression $\sqrt{0.75}\times \sqrt{0.8}$

• A. $\frac{3}{5}$
• B. $\frac{\sqrt{15}}{5}$
• C. $\sqrt[4]{40.6}$
• D. $\sqrt{1.55}$

Answer 1

Answer: (B)

$\frac{\sqrt{15}}{5}$

We have, $\sqrt{0.75}\times \sqrt{0.8}$

$=\sqrt{\frac{75}{100}}\times \sqrt{\frac{8}{10}}$

$=\sqrt{\frac{3}{4}\times \frac{4}{5}}$

$=\sqrt{\frac{3}{5}}$

$=\sqrt{\frac{3\times 5}{5\times 5}}$

$=\frac{\sqrt{15}}{5}$