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# Squares and Square Roots worksheet for class 8

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## Squares and Square Roots worksheet for class 8 Important Topics

• Introduction
• Properties of Square Numbers
• Some More Interesting Patterns
• Finding the Square of a Number
• Square Roots
• Square Roots of Decimals
• Estimating Square Root

## Some important Facts about Squares and Square Roots worksheet for class 8

1. If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number.
2. All square numbers end with 0, 1, 4, 5, 6 or 9 at unit’s place.
3. Square numbers can only have even number of zeros at the end.
4. Square root is the inverse operation of square.
5. There are two integral square roots of a perfect square number.Positive square root of a number is denoted by the symbol .

## NCERT Class 8 Mathematics Solved Worksheets

• Chapter 1: Rational Numbers
• Chapter 2: Linear Equations in One Variable
• Chapter 4: Practical Geometry
• Chapter 5: Data Handling
• Chapter 6: Squares and Square Roots
• Chapter 7: Cubes and Cube Roots
• Chapter 8: Comparing Quantities
• Chapter 9: Algebraic Expressions and Identities
• Chapter 10: Visualising Solid Shapes
• Chapter 11: Mensuration
• Chapter 12: Exponents and Powers
• Chapter 13: Direct and Inverse Proportions
• Chapter 14: Factorisation
• Chapter 15: Introduction to Graphs
• Chapter 16: Playing with Numbers

## Estimating Square Root

Consider the following situations:

1. Deveshi has a square piece of cloth of area 125 cm2. She wants to know whether she can make a handkerchief of side 15 cm. If that is not possible she wants to know what is the maximum length of the side of a handkerchief that can be made from this piece.

2. Meena and Shobha played a game. One told a number and other gave its square root. Meena started first. She said 25 and Shobha answered quickly as 5. Then Shobha said 81 and Meena answered 9. It went on, till at one point Meena gave the number 250. And Shobha could not answer. Then Meena asked Shobha if she could atleast tell a number whose square is closer to 250.

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