write any three numbers whose squares will be odd numbers
Answers
Now there is no need to actually find the three odd numbers which will satisfy one of them.
We know that square of an odd integer will certainly be of the form 4n + 1 (because odd square cannot be of the form 4n).
For e.g.,
5 square is 25, it can be expressed as 3*8 + 1 , or 4*6 + 1 or 5*5
Similarly 11 square is 121, it can be expressed as 3*40 + 1, or 4*30 + 1, or 24*5 + 1
And we are adding three numbers of the same form i.e. 4n + 1. So after addition resulting number will be of the form 4n + 3. And we are to just look for a number of 4n + 3 from the options.
So from the given choices it can be seen that only 3339 can be expressed in the "4n+1" form
So the answer will be 3339.
I hope that makes it quite simple
Answer:
hope it helps
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Step-by-step explanation:
5 7 19