Question

Find the value of $\sqrt{103.0225}$ and hence find the value of
(i) $\sqrt{10302.25}$
(ii) $\sqrt{1.030225}$

Answer 1

The value of $103.0225$ is:


Hence, the square root of 103.0225 is 10.15.

Now, we can solve the following questions as shown below:

$$\begin{gathered} \left(\mathrm{i}\right)\sqrt{10302.25}=\sqrt{103.0225\times 100}=\sqrt{103.0225}\times \sqrt{100}=10.15\times 10=101.5 \\ \left(\mathrm{ii}\right)\sqrt{1.030225}=\sqrt{\frac{103.0225}{100}}=\frac{\sqrt{103.0225}}{\sqrt{100}}=\frac{10.15}{10}=1.015 \end{gathered}$$