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Find the square root of 1250.
Given :
The given number is 1250.
To do :
We have to find the square root of 1250.
Solution :
Prime factorisation of 1250 is,
$1250 = 2\times 5\times 5\times 5\times 5$
$1250 = 2\times (5\times 5)\times (5\times 5)$
$1250 = 2\times (25\times 25)$
Therefore,
$1250 = 2 \times 25^2$
$\sqrt{1250}=\sqrt{2 \times 25^2}$
$= 25\sqrt{2}$
$= 25 \times 1.41 = 35.25$
Therefore, the value of $\sqrt{1250}$ is 35.25.
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