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.
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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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