Class 8 Math: Squares and Square Roots Solved Examples & Step Solutions

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Squares and Square Roots.

Step-by-Step Solved Problems

Example 1: Square Root by Long Division

Worked Solution Steps:

1. Group digits in pairs from right: 7 and 29.
2. Find largest square ≤ 7: 2² = 4. Subtract 4 from 7, leaving 3. Bring down 29, divisor 2 becomes 4.
3. Find digit x such that 4x * x ≈ 329. Try x = 7: 47 * 7 = 329.
4. Square root is 27.

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.