Question

find the smallest number by which 1100 must be multiplied so that the product become a perfect square. so obtained.

Answer 1

Hello Dear!!!!

Here's your answer....

1100

First,we have to do prime factorisation...

1100 = 2*2*5*5*11

1100 = 2^2 * 5^2 * 11

The power of 2 and 5 is 2

But the power of 11 is 1

So... The power of 11 should become 2...

So... 11 should be multiplied with 1100 to become perfect square...

1100*11

12100

And now...sqaure root of 12100

√12100

110

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Hope this helps you......