Chapter 1 · Class 8 CBSE · Formula Sheet
Squares, Cubes & Their Roots Formulas — Class 8 CBSE
Find squares, cubes, square roots, and cube roots using various methods.
Key Formulas
Perfect Square Pattern
n^2 = 1 + 3 + 5 + \cdots + (2n - 1)
Square of Sum
(a + b)^2 = a^2 + 2ab + b^2
Pythagorean Triplet
(2m)^2 + (m^2 - 1)^2 = (m^2 + 1)^2
Square Root (Prime Factorization)
\sqrt{n} = \text{Product of one factor from each pair}
Cube Root
\sqrt[3]{n} = \text{Product of one factor from each triplet}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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