Answer:
Step-by-step explanation:
Lets illustrate one method by an example:
Find the square root of 12:
The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.
We might predict it to be 3.5
If we square 3.5 we get 12.25 so we are pretty close.
It is less than 3.5 so we might try 3.4 .
Working 3.4^2 out we get 11.56 so we know the square root is between 3.4 and 3.5 Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.
This is called the method of trial and improvement and requires you to do long multiplications.
