## find the smallest number by which 1568 has to be multiplied to make it a perfect square. also find the square root. ________________________

Question

find the smallest number by which 1568 has to be multiplied to make it a perfect square. also find the square root. _____________________________________ plezzz answer guys it is important plezzz answer fast.

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1 week 2021-09-11T03:24:29+00:00 2 Answers 0 views 0

1. 2×2×2×2×2×7×7 is the prime factorisation of 1568

2 doesn’t has a pair so the smallest number multiplied to 1568 to get perfect square is 2. And the perfect square will be 1568×2 = 3136

the prime factorization of 3136= 2×2×2×2×2×2×7×7 now every number has pairs

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## the smallest number to be multiplied with 1568 to make it a perfect square is 2.

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 7 x 7 = 1,568.

here 2 doesn’t have pairs.

So 2 should be multiplied with 1568 to make it a perfect square.

1568×2= 3136

3136=2, 2, 2, 2, 2, 2, 7, 7.

3136 ie the new number is a perfect square.

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