Math, asked by JAKIECHAIN, 1 year ago

find the smallest number by which 3872 should be multiplied so that the product is a perfect square also find the square root of the new number

Answers

Answered by mp5216042
67
firstly we have to find the prime factors of 3872
3872 = 2*2*2*2*2*11*11
  while paring the factors, we observe that the prime factor 2 does not form a pair.
  so, we multiply 3872 by 2 to make it a perfect square
new number = 3872*2 = 7744

∴√7744 = √2*2*2*2*2*2*11*11
              = 2*2*2*11
   √7744 = 88
Answered by ANSHU9092
17

Answer:

The smallest no. is 2 and the perfect square that we have found is 7744.

And it's square is √7744=88

I hope that you will get your answer.

Similar questions