Find the smallest number by which 9408 is multiplied and also divided so as to make it a perfect square. Also find the square root of the number so obtained.
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Prime factors of 9408 = 2×2×2×2×2×2×7×7×3
.................... here 3 is unpaired
so, 9408 should be divided or multiplied by 3 to make it a perfect square.
9408 = 2×2×2×2×2×2×7×7×3×3
√9408 = 2×2×2×7×3
= 8×21
= 168
thus, √9408 is a square of 168.
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