How to find the square root of any 3 digit number

Let's take an example dear student ...

Find the square root of 324.

1. Concentrate on 3 leaving out the 24. Since 1²<3<2², the tenths place number in square root is 1. The unit digit in the square root to give 4 as ending digit in the square can be 2 or 8.

So, we have two choices, 12 and 18, and digital sum of the square is 9 or 0, and so is the case with the squares of 12 and 18. So, the number in the tenths digit of the square will have to come to the rescue.

If we choose 12, the number in the tenths digit of the square root will be

1x2 + 1x 2 = 4 which is not so in the square.

If we choose 18, then the number in the tenths digit of the root will be found from: ……. 1x8 + 1x 8 =16 8x8 =64. so that the number in the tenths digit becomes 16 + 6 ending in 2 in that place Hence, 18 is the required square root.