Question

How to find square root of any number super fast?​

Answer 1

Answer:

The steps to estimate the square root of a 4 digit number are:

Step 1: Pair the digits starting from right to left.

Step 2: Match the unit digit of number from the chart and determine the possible values of the square root of the unit digit.

Step 3: Let us consider the first pair of digits. Let it be "n".

Step 4: Determine between which two squares this number lies, √a2 < n < √b2. This concludes that a < n < b. Thus, the tens digit of the desired square root is "a".

Step 5: As referred to in the chart of squares, there are only two numbers whose squares do not repeat i.e, 5 and 10. Check if the unit digit obtained in Step 2 is anyone of them.

Step 6: Once, it is checked if the obtained number is 5 or 10, then they are written as it is, else we find out the unit digit by using the below steps.

Steps to find units digit if the unit digit obtained in Step 2 is apart from 5 or 10 are:

Step 7: Now, Multiply a and b.

Step 8: If ab≤ n, then choose b, else choose a.