You might have come across a number of questions in the competitive examinations, where you need to find a square root of a number. We have already discussed the shortcut on obtaining the square root of a number, if the number is a perfect square.
If the number is an imperfect square however, the conventional method is to go for division technique to obtain the square root of a number. However this technique takes a long time.
In this tutorial, we will discuss a shortcut to obtain the approximate square root of an imperfect square.
Let’s say we need to calculate the square root of 95.
Let’s understand the steps:
Step 1 : By looking at the number itself, we can guess, the square root of 95 lies between 9 and 10.
Step 2 : 95 is 14 more than 92. Add 14 divided by twice the integer part of the square root i.e., 9×2 = 18.
So, the approximate square root of 95 is 9.77 which is very close to 9.747 which is the actual square-root of 95.
Consider another example, Let’s say we need to calculate the square root of 150.
Step 1 : The square root of 150 lies between 12 and 13.
Step 2 : 150 is 6 more than 122. Add 6 divided by twice the integer part of the square root i.e., 12×2 = 24.
So, the approximate square root of 150 is 12.25 which is very close to 12.247 which is the actual square-root of 150.
Using the same shortcut, can you obtain the square roots of
Please contact me if some point in the tutorial is not clear. I would be glad to help.