Math, asked by AnushkaS29, 1 year ago

find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square also find the square root of the perfect square so obtained please solve this question quickly

Answers

Answered by PatelHet
15
1100=11*100 where 100 is square of 10,
Now 1100 must be multiply the smallest no. 11.
So that it's become a perfect square =12100.
Now it's square root =11*10=110.

I hope it's help full to you.....

AnushkaS29: but the answer is 11,110 why?
PatelHet: That's not right
PatelHet: Ans must be 110
AnushkaS29: thanks
PatelHet: It's my pleasure....
Answered by harshu44
12
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......
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