Squares and Square Roots — Formula Sheet
ICSE · Class 8 · Mathematics
7 formulas from Squares and Square Roots (ICSE Class 8 Mathematics) on one page, grouped by topic. Part of the ICSE Class 8 Mathematics syllabus.
Interactive on Super Tutor
Studying Squares and Square Roots? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.
Free trial, no card needed.
Formulas and Key Relations
2. Perfect Squares and Prime Factor Method
Perfect square = product of equal pairs of prime factors
Square root by prime factors
3. Division Method for Square Roots
Square root via index form: √(a^m × b^n) = a^(m/2) × b^(n/2)
4. Fractions and Decimals
Square root of a fraction: √(a/b) = √a / √b
The symbol of square root is √.
Key relations
For example, 5 squared equals 25, so 5^2 = 25.
The symbol is the radical sign √.
Full sheet with units and worked examples
View AllFrequently Asked Questions
What are the important topics in Squares and Square Roots for ICSE Class 8 Mathematics?
How many formulas are in Squares and Square Roots?
How should I revise Squares and Square Roots for Class 8 exams?
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
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Squares and Square Roots chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.