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Find the least number which must be added to 97330 so that to make it a perfect square also find the new number and its square root
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Step-by-step explanation:
Given :-
The number = 97330
To find:-
Find the least number which must be added to 97330 so that to make it a perfect square also find the new number and its square root ?
Solution:-
See the above attachments
Given number = 97330
It lies between 311² and 312²
=> 311² < 97330 < 312²
=> 96721 < 97330 < 97344
If we subtract 609 from 97330 then it will be a perfect square.
Since 97330-96721 = 609
If we add 14 to 97330 then it will be a perfect square.
97330+14 = 97344
The square root of 97344 = 312
√97344 = 312
Answer :-
The required number should be added to 97330 is 14
The equate root of the new number is 312
Used formulae:-
- Bar Method for finding square root .
Attachments:
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