Question

What is the smallest 6 digit no. which is a perfect square? How to find it using long division method? (WITH FULL STEPS)

Answer 1

While answering these type of questions, we need to think logically. The smallest 6 digit number is 100000.
The square root of 100000 is 316.2277660168. Its greatest integer value or the whole number greater than that is

[316.2277660168]=317
or check nearest number of 316.2277660168 , that is check for square of 316, 317, 318

if we check for 316, then 316 *316 = 99856( which is 5 digits)

So, the square of 317 must be the smallest 6 digits perfect square.

Therefore,317×317=100489.

So, the smallest 6 digit perfect square is 100489.