Find the value of

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:

(i) $\sqrt{10302.25}=\sqrt{103.0225 \times 100}=\sqrt{103.0225} \times \sqrt{100}=10.15 \times 10=101.5$

(ii) $\sqrt{1.030225}=\sqrt{\frac{103.0225}{100}}=\frac{\sqrt{103.0225}}{\sqrt{100}}=\frac{10.15}{10}=1.015$