Worksheet on Square Root of Numbers in Decimal and Fractions



In worksheet on square root of numbers in decimal and fractions, there are two sets of questions. One set of questions are from square root of numbers in decimal form and the other is from square root of numbers in fraction.

A. Square root of numbers in decimal form

Evaluate the square root of the following numbers in decimal form:

1. √1.69

2. √33.64

3. √156.25

4. √75.69

5. √9.8596

6. √10.0486

7. √1.0816

8. √0.2916

9. Evaluate √3 up to two places of decimal.

10. Evaluate √2.8 correct up to two places of decimal.

11. Evaluate √0.9 correct up to two places of decimal.


B. Square root of numbers in fraction form

Evaluate the square root of the following numbers in fraction form:

1. \(\sqrt{\frac{16}{81}}\)

2. \(\sqrt{\frac{64}{225}}\)

3. \(\sqrt{\frac{121}{256}}\)

4. \(\sqrt{\frac{625}{729}}\)

5. \(\sqrt{3\frac{13}{36}}\)

6. \(\sqrt{4\frac{73}{324}}\)

7. \(\sqrt{3\frac{33}{289}}\)

8. \(\frac{\sqrt{80}}{\sqrt{405}}\)

9. \(\frac{\sqrt{1183}}{\sqrt{2023}}\)

10. √98 × √162


Here are the answers of the above questions given in the worksheet on square root of numbers in decimal and fractions.

A. Answers of square root of numbers in decimal form

1. 1.3

2. 5.8

3. 12.5

4. 8.7

5. 3.14

6. 3.17

7. 1.04

8. 0.54

9. 1.73

10. 1.67

11. 0.95


B. Answers of  Square root of numbers in fraction form

1. ⁴/₉

2. ⁸/₁₅

3. ¹¹/₁₆

4. ²⁵/₂₇

5. 1⁵/₆

6. 2¹/₁₈

7. 1¹³/₁₇

8. ⁴/₉

9. ¹³/₁₇

10. 126


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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

Math Homework Sheets

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