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.

*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**

● **Square Root**

**Square Root of a Perfect Square by using the Prime Factorization Method**

**Square Root of a Perfect Square by Using the Long Division Method**

**Square Root of Numbers in the Decimal Form**

**Square Root of Number in the Fraction Form**

**Square Root of Numbers that are Not Perfect Squares**

**Practice Test on Square and Square Roots**

● **Square Root- Worksheets**

**Worksheet on Square Root using Prime Factorization Method**

**Worksheet on Square Root using Long Division Method**

**Worksheet on Square Root of Numbers in Decimal and Fraction Form**

**8th Grade Math Practice** **From Square Root of Numbers in the Decimal Form to HOME PAGE**

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