4. Find the smallest natural number by which 5808 should be divided to make it a perfect square. Also, find the number whose square is the resulting number.
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Answer:
We know that
It can be written as
5808=2×2×2×2×3×11×11
Here
After pairing the same prime factors, factor 3 is left.
Now dividing the number by 3, we get perfect square
Therefore, the square root of the resulting number is 2×2×11=44
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