Question

Find the smallest number by which 768 must be multiplied to get a perfect square

Answer 1

Answer:

The smallest number which multipled to768 to get a perfect square are√768=2^2×2^2×2^2×2^2×3 so 3 multipled to 768 to get a perfect square

Answer 2

Step-by-step explanation:

First we will do Prime Factorization of 768..

#768=> 3 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

=>So, here we have made the pairs of two.....but 3 is remaining so the smallest number which should be multiplied to get a perfect square is 3....

# 768 x 3 => 2304

And square of root of 2304 is 48..

So this proves that 2304 is a perfect square and 3 is the smallest number which we multiply so we get a perfect square..

I hope it helps...if u need more explanation let me know i will edit it and do the same...

Thankyou..

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