Question

Find the value of $\sqrt{103.0225}$ and hence find the value of

i) $\sqrt{10302.25}$

ii) $\sqrt{1.030225}$

Answer 1

$\sqrt{10302.25}=\sqrt{\frac{1030225}{10000}}=\frac{\sqrt{1030225}}{10000}$
(i) $\sqrt{10302.25}=\sqrt{\frac{1030225}{100}}$

$=\frac{1015}{10}=101.5$

(ii) $\sqrt{1.030225}=\sqrt{\frac{1030225}{1000000}}$
$=\frac{1015}{1000}=1.015$