how to find square root of decimal number

September 21, 2017 by amarswami Leave a comment

To find the square root of numbers in the decimal form are explained in the following steps:

Step I: Make the number of decimal places even by affixing a zero on the extreme right of the decimal part (if required).

Step II: In the integral part, mark the periods as done while finding the square root of a perfect square of some natural number.

Step III: In the decimal part, mark the periods on every pair of digits beginning with the first decimal place.

Step IV: Now, find the square root by long division method.

Step V: Put the decimal point in the square root as soon as the integral part is exhausted.

Examples on square root of numbers in decimal form:

1. Evaluate: √42.25

Solution:

Using the division method we may find the square root of the given number;

Therefore, √42.25 = 6.5

2. Evaluate: √1.96

Solution:

Using the division method we may find the square root of the given number;

Therefore, √1.96 = 1.4

3. Evaluate: √6.4009

Solution:

Using the division method we may find the square root of the given number;

Therefore, √6.4009 = 2.53

4. Evaluate: √66.4225

Solution: 

Using the division method we may find the square root of the given number;

Therefore, √66.4225 = 8.15

5. Evaluate: √0.4225

Solution:

Using the division method we may find the square root of the given number;

Therefore, √0.4225 = 0.65