Question

The value of $\sqrt{\frac{0.289}{0.00121}}$ is equal to

• A. $\frac{1.7}{11}$
• B. $\frac{0.17}{11}$
• C. $\frac{17}{110}$
• D. $\frac{170}{11}$

Answer 1

The correct option is D $\frac{170}{11}$

Given, $\sqrt{\frac{0.289}{0.00121}}$

It can be simplified as,

$\sqrt{\frac{0.289}{0.00121}}=\sqrt{\frac{0.289\times 100000}{0.00121\times 100000}}$

$=\sqrt{\frac{28900}{121}}=\frac{170}{11}$