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# Find the smallest whole number by which 3950 should be multiplied so as to get a perfect square number also find the square root of the square number so obtained

**Given:**A number $3950$.

**To do:**To find the smallest whole number by which $3950$ should be multiplied so as to get a perfect square number also find the square root of the square number so obtained.

**Solution:**

Given number: $3950$

$3950 =\underline{5\times5}\times79\times2$ [On factoring the number]

So it should be multiplied by $79\times2=158$ to make it perfect square.

$\Rightarrow 3950\times158 = \underline{5\times5}\times\underline{79\times79}\times\underline{2\times2}=624100$

$\therefore \sqrt{624100}=5\times79\times2$

$=790$

Thus, the number $3950$ should be multiplied by $158$ to make it perfect square and the square root of the obtaned number is $790$

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