Back to Class IX Mathematics
Class IX Mathematics

Chapter 1: Number Systems

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Rationalizing Denominator

Rationalize the denominator of 1 / (7 + 3√2).

Calculation Steps:

  1. 1Identify the conjugate of the denominator: (7 - 3√2).
  2. 2Multiply numerator and denominator by conjugate: [1 * (7 - 3√2)] / [(7 + 3√2)(7 - 3√2)].
  3. 3Evaluate denominator using difference of squares: 7² - (3√2)² = 49 - 18 = 31.
  4. 4Assemble final fraction: (7 - 3√2) / 31.
Solution(7 - 3√2) / 31