Question

What is the smallest number by which 980 must be multiplied so that the product is a perfect square?

Answer 1

Hence,the multiplied no. is 5

Answer 2

Answer:

5

Step-by-step explanation:

We have to calculate the smallest number that is multiplied with 980 to make the product is a perfect square.

Let us factorize the number 980.  

We will get that, 980=2×7×7×2×5.

Make the factors in pair like 980 =(2×2)×(7×7)×5

So, the only non-paired number is 5.

Hence, we have to multiply another 5 to make all the factors in pairs.

We know that the square root of (2×2)×(7×7)×(5×5) is possible and it is 2×7×5 i.e. 70.  

Therefore, the smallest number that has to multiply with 980 to make the product a perfect square is 5. (Answer)