Question

find the smallest number by which 3125 must be multiplied that the product is a perfect square number​

Answer 1

$\huge\sf\underline{Required\: Solution}$

Understanding the concept

❍This question is saying that 3125 is a number be multiplied that the product is a perfect square number so we are said to find the smallest number.

How to do

❍As given in the question 3125 is a number how much we add in this then it will be a perfect square so as we know for finding smallest number we should have to find prime factorize value of 3125 after finding prime factorize value then we have to see common number in them and after getting common number then we will see which is not common and we will get the answer.So let's find!

Prime Factorisation of 3125

3125 = 5 ×5 × 5 × 5 × 5

3125 = 5^3 × 5^2

Smallest number which multiplied that the product is a perfect square is 5.