Question

If $\frac{\sqrt{x}}{\sqrt{0.0064}}=\sqrt[3]{30.008}$, then find the value of $x$.

• A. $0.000256$
• B. $0.08$
• C. $0.00016$
• D. $0.000128$

Answer 1

Answer: (A)

$0.000256$

$\sqrt{x}=\sqrt[3]{30.008}\times \sqrt{0.0064}$

$=\sqrt[3]{3\frac{8}{1000}}\times \sqrt{\frac{64}{10000}}$

$=\frac{\sqrt[3]{38}}{\sqrt[3]{31000}}\times \frac{\sqrt{64}}{\sqrt{10000}}$
$=\frac{2}{10}\times \frac{8}{100}=\frac{16}{1000}=0.016$

$\therefore x=(0.016{)}^2=0.000256$