Write the smallest number that must be subtracted from 9400 to obtain a perfect square.Find this perfect square and its square root.

Given: A number $9400$.

To do: To write the smallest number that must be subtracted from 9400 to obtain a perfect square. And to find this perfect square and its square root.

Solution:

Given number is $9400$

Therefore, $\sqrt{9400}=96.95$

Now $96\times96=9,216$

$9,216$  is a perfect square.

So, $9400-9216=184$

Thus, $184$ must be subtracted from $9400$ to make it a perfect square.

After subtracting $184$ from $9400$ we get $9216$ which is a perfect square and its root is $96$.

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Updated on: 10-Oct-2022

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