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
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.....
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?
Answered by
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
_______________________
Hope this helps you......
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
_______________________
Hope this helps you......
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