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Worked Example

Reasoning practice 4

For Class 9 Mathematics, explain or solve a types of numbers question from the chapter "Number Systems". Focus on reasoning practice and show the working clearly.

Step-by-step solution path

  1. Read the topic idea: Types of Numbers.
  2. Recall the core explanation from the chapter: Real numbers, irrational numbers, laws of exponents and their decimal expansions.
  3. Use the related formula "Rationalising Factor" as the main tool while solving.
  4. Write the reasoning in simple school-level language before the final answer.
Final learning answer
This example is centred on Types of Numbers. A strong solution should identify the correct data, apply Rationalising Factor, and explain each transition instead of jumping directly to the answer.

Related formula

Rationalising Factor
Multiply by conjugate: (a+√b)(a-√b) = a²-b
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