Find the smallest six-digit number which is a perfect square. Find its square root. i need it with steps for exam.

Here, we will find the least 6–digit number which is a perfect square.

The smallest 6–digit number is 100000. We will try to find its square root as :

So, = 316.22 which is not a whole number.

∴ The number next to 316 i.e., 317 would be the perfect square of smallest 6–digit number.

∴ number = (317)^{2} = 100489

Hence, the least 6-digit number which is a perfect square is 100489.

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