Find the smallest number by which 4864 must be divided so that the quotient becomes a perfect square. Find the square root of the quotient.
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0
Answer:
4864 is the write answer
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15
Answer:
4864 = 2×2×2×2×2×2×2×2×19
= 2^2×2^2×2^2×2^2×19
Therefore 19 should be multiplied by 19 to make it a perfect square
=> 4864 × 19 = 92416 is a perfect square
The square root of 92416 = square root of 2^2 × 2^2 × 2^2 × 2^2 × 19^2 = 2×2×2×2×19 = 304
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