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Squares and Square Roots — Chapter Summary

ICSE · Class 8 · Mathematics

Summary of Squares and Square Roots for ICSE Class 8 Mathematics. Part of the ICSE Class 8 Mathematics syllabus.

38 questions30 flashcards7 formulas & key relations5 concepts

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Overview

Squares are obtained when a number is multiplied by itself, and square roots are the reverse operation that find the number whose square gives the original number. The chapter develops both ideas through perfect squares, prime factorisation, the division method, decimal numbers, fractions, and usefu

Key Concepts

If a number is multiplied by

If a number is multiplied by itself, the product obtained is called the square of that number. For example, 5 squared equals 25, so 5^2 = 25. The squa

The square root of a number

The square root of a number is the number whose square is the given number. The symbol is the radical sign √. Square root of x can also be written as

A number whose exact square root

A number whose exact square root can be obtained is called a perfect square. Examples include 16, 49, 1.21, and 9/16. A perfect square can be checked

To find the square root

To find the square root of a perfect square, write the number as a product of prime factors, form equal pairs, and take one factor from each pair. For

This method is used for perfect

This method is used for perfect squares and also for non-perfect squares. Digits are grouped in pairs from the decimal point. Then the square root is

Learning Objectives

  • Define square and square root clearly
  • Identify perfect squares using prime factor pairs
  • Find square roots by prime factor method and division method
  • Find square roots of fractions, decimals, and mixed numbers
  • Use properties of square numbers to test whether a number can be a perfect square

Frequently Asked Questions

What are the important topics in Squares and Square Roots for ICSE Class 8 Mathematics?
Key topics in Squares and Square Roots include Basic Ideas: Square and Square Root, Perfect Squares and Prime Factor Method, Finding Square Roots by Prime Factor Method, Division Method for Square Roots. Study these first, then practise questions on each for Class 8 exams.
How should I revise Squares and Square Roots for Class 8 exams?
Learn the core ideas first, then work through the 38 practice questions on Squares and Square Roots. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Squares and Square Roots

All ICSE Class 8 Mathematics Chapter Summary

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