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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 $790$
Updated on: 10-Oct-2022
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