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


 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

Math Homework Sheets

From Worksheet on Square Root of Numbers in Decimal and Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Perimeter of a Square | How to Find the Perimeter of Square? |Examples

    Apr 25, 24 05:34 PM

    Perimeter of a Square
    We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…

    Read More

  2. Perimeter of a Triangle | Perimeter of a Triangle Formula | Examples

    Apr 25, 24 05:13 PM

    Perimeter of a Triangle
    We will discuss here how to find the perimeter of a triangle. We know perimeter of a triangle is the total length (distance) of the boundary of a triangle. Perimeter of a triangle is the sum of length…

    Read More

  3. Perimeter of a Rectangle | How to Find the Perimeter of a Rectangle?

    Apr 25, 24 03:45 PM

    Perimeter of a Rectangle
    We will discuss here how to find the perimeter of a rectangle. We know perimeter of a rectangle is the total length (distance) of the boundary of a rectangle. ABCD is a rectangle. We know that the opp…

    Read More

  4. Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer

    Apr 24, 24 03:46 PM

    Dividing 3-Digit by 1-Digit Number
    Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit nu…

    Read More

  5. Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

    Apr 24, 24 03:45 PM

    Symmetrical Figures
    Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

    Read More