Question

1008 - By which smallest number this number should be multiplied, so that the result becomes a perfect square? Find the square root of the result obtained.

Answer 1

Solution;

Resolving 1008 into prime

factors , we get

1008 = 2×2×2×2×3×3×7

= (2×2)×(2×2)×(3×3)×7

We see that 2 , 2 , 3 exist in

pairs , while 7 is alone

So, we should multiply the given

number by 7 to get a perfect

square .

Therefore ,

The perfect square so obtained

is 1008 × 7 = 7056

The square root of 7056

√7056 = √(2×2)(2×2)(3×3)(7×7)

= 2×2×3×7

= 84

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