4 . Find the smallest number by which 10368 be divided , so that the result is a perfect square . Also , find the square root of the resulting number .
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Step-by-step explanation:
10368=2×2×2×2×2×2×2×3×3×3×3
On grouping the prime factors of 10368; one factor i.e. 2 is left which cannot be paired with equal factor.
Taking L.C.M.
∴ The given number should be divided by 2
Now
2
10368= 2×2×2×2×2×2×2×2×3×3×3×3
(Splitting the terms)
=2×2×2×3×3=72
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