Question

Find the smallest number by which 395136 has to be multiplied so that it becomes a perfect square. Also find the square root of the perfect square so obtained.

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Answer 1

Answer:

you need to multiply by 14 and square root would be 2352

Step-by-step explanation:

395136=2⁷×3²×7³

now if we multiply the above number by 2×7 then

it would be 2⁸×3²×7⁴ = (2⁴×3×7²)² which is a perfect square number

now root of this number would be (2⁴×3×7²)=2352