Question

Find the smallest no. by which 9408 must be divided to make it a perfect square. Also find the square root of no. so obtained.

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Answer 1

Answer:

Out of the prime factors of 9408, only 3 is without pair. So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

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Step-by-step explanation:

Answer 2

we have,9408=2×2×2×2×2×2×3×7×7

if we divide 9408 by the factor 3,then

9408÷3=3136=2×2×2×2×2×2×7×7 which is a perfect square.

which is a perfect square.Therefore,the required smallest no.is3

And,

√3136=2×2×2×7=56

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