Question

How to find the square root of a non perfect square without a calculator?

Answer 1

Answer:

Step-by-step explanation:

This is the method, I have learnt.This method can be applied only if you have a thorough knowledge of the perfect squares. We will take a number say 105. To find its square root, proceed as under:

Find the closest perfect square to it. Here, it is 100.

Find square root of that number, i.e. 100. We know the square root is 10.

Divide the number by the square root calculated above. Here, 105÷10.

Take the mean of the result obtained above and the square root in step 2. Here, (10+10.5)/2 = 10.25

The number obtained above is the square root of the required number.

HOPE THIS HELPS YOU.