Question

What is the square of smallest 6 digit number? How to find it using long division method? (WITH FULL STEPS)

Answer 1

Solution:

The least number of six digits = 100000, which is not a perfect square.

Now, we must find the least number which when added to 1 00000 gives a perfect square. This perfect square is the required number.

Now, we find out the square root of 100000.

Clearly, (316)² < 1 00000 < (317)²

Therefore, the least number to be added = (317)² - 100000 = 489.

Hence, the required number = (100000 + 489) = 100489.

Also, √100489 = 317.