Question

find the greatest number of 5 digit which is a perfect square.

Answer 1

Answer: 99856

Step-by-step explanation:

First, we take the largest 5-digit number = 99999

On prime factorization for finding square root, we find that 99999 is not a perfect square, however the answer to factorization is 316 with some remainder.

Now, if we do $316^{2}$, we will get 99856.

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Answer 2

Answer:

We know that the largest 5 digit number is 99999. So let us check whether it is a perfect or not ? So here we can see that 99999 is not a perfect square as it leaves 143 as the remainder while finding it s square root. Hence 99856is a perfect square whose square root is √99856 = 316.