Find the greatest 4 digit
number which is a perfect square.
Answers
Answer:
9801
Step-by-step explanation:
Here we need largest 4 digit number which is a perfect square.
The largest 4 digit number is 9999. But it is not a perfect square.
Let us consider the smallest 5 digit number.. it is 10000.
Here 10000 is a perfect square(100*100=10000).
As the smallest 5 digit number is a perfect square of 100, the largest 4 digit perfect square should be 99*99.
So the required answer is 9801
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Given that,
➭The greatest 4 digit number which is perfect square.
➭We know that.
✬The smallest 4 digit number is 1000.
➟The greatest 4 digit number is 9999.
➼We know that,
➟The square of 100 is 10000 or 1 more noteworthy than the biggest 4 digit number.
➼So, the closest square root of the largest perfect square is 99.
So. The square of 99 is
(99)^2=9801(99)2=9801
∴We can say that, the largest closest square of four digits is 99.
✬Hence, The greatest 4 digit number is 9999 and it is the closest square of 99.
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