find the greatest 3 digit number which is a perfect square
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3
Answer:
Hence 961 isthe largest 3 digit perfect square whose square root is 31.
Step-by-step explanation:
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Step-by-step explanation:
QUESTION :-
Find the greatest 3 digit number which is a perfect square.
ANSWER :-
- We know that the largest 3 digit number is 999. So we will find out the square root of 999 by long division method and check whether it is a perfect square or not.
- Here, we can see that 999 is not a perfect square as it leaves 38 as remainder.
- So if 38 will be addede to 999 then it will become a 4 digit number. Therefore to find the largest 3 digit perfect square we will subtract 38 from 999.
- 999 - 38 = 961.
- Hence 961 isthe largest 3 digit perfect square whose square root is 31.
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