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

To do: 

We have to evaluate $\sqrt{103.0225}$ and hence find the value of

(i) $\sqrt{10302.25}$

(ii) $\sqrt{1.030225}$.

Solution:

The square root of 1030225 is,

$\sqrt{103.0225}=\sqrt{\frac{1030225}{10000}}$

$=\frac{\sqrt{1030225}}{\sqrt{10000}}$

$=\frac{1015}{100}$

$=10.15$

Therefore,

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

$=\frac{1015}{10}$

$=101.5$

(ii) $\sqrt{1.030225}=\sqrt{\frac{1030225}{100000}}$

$=\frac{1015}{1000}$

$=1.015$ 

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Updated on: 10-Oct-2022

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