Question

find the smallest number by which 980 be multiplied so that the product is a perfect square​

Answer 1

Answer:

5

Step-by-step explanation:

Prime Factorisation:

980 = 2 x 2 x 5 x 7 x 7

980 = 2² x 5 x 7²

We can see that both 2 and 7 have a pair , however 5 does not have a pair.

.°. 5 should be multiplied to 980 to make it a perfect square.

[When 5 is multiplied to 980, the Prime factorisation of the product becomes 2² x 5² x 7²]

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