Question

sadly,200 is not a perfect square find the smallest natural number that we need to divide 200 with to make it a perfect square​

Answer 1

$Resolving \:200 \:into \:prime \:factors ,we \:get$

2| 200

_______

2| 100

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2| 50

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5| 25

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*** 5

200 = 2×2 × 2 × 5×5

we can see that , 2 and 5 exists in pairs while 2 do not exists in pairs .

So, we must divide the given number by 2.

$\therefore perfect \:square\: obtained = \frac{200}{2}$

$= 100$

$= 10^{2} \:\blue{ ( Perfect \:square )}$

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