Question

Given that $\sqrt{1225}=35$, find the value of $\sqrt{12.25}+\sqrt{0.1225}+\sqrt{0.001225}$.

• A. 0.3885
• B. 388.5
• C. 38.85
• D. 3.885

Answer 1

The correct option is D 3.885

$\sqrt{\frac{1225}{100}}+\sqrt{\frac{1225}{10000}}+\sqrt{\frac{1225}{1000000}}$

$=\frac{\sqrt{1225}}{\sqrt{100}}+\frac{\sqrt{1225}}{\sqrt{10000}}+\frac{\sqrt{1225}}{\sqrt{1000000}}$

$=\frac{35}{10}+\frac{35}{100}+\frac{35}{1000}$

$=3.5+0.35+0.035=3.885$