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.