Square Root of Numbers in the Decimal Form


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



 Square Root

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

Table of Square Roots

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

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