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
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