Question

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

Answer 1

it should be multiplied by 3 to get a perfect square

Answer 2

Solution :

Resolving 768 into product of

prime factors , we get

768 = 2×2×2×2×2×2×2×2×3

= (2×2)(2×2)(2×2)(2×2)×3

We see that 2,2,2,2 exists

in pairs while 3 alone

So, we should multiply the given

number by 3 to

get a perfect square.

Therefore ,

768 × 3 = 2304

√2304

=√(2×2)(2×2)(2×2)(2×2)(3×3)

= 2×2×2×2×3

= 48

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