Example 20 - Rationalise the denominator of 1/(7+3 root 2) - Rationalising

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  1. Chapter 1 Class 9 Number Systems
  2. Serial order wise

Transcript

Example 20 Rationalise the denominator of 1﷮7 + 3 ﷮2﷯﷯ 1﷮7 + 3 ﷮2﷯﷯ = 1﷮7 + 3 ﷮2﷯﷯ × 7 − 3 ﷮2﷯﷮7 − 3 ﷮2﷯﷯ = 7 − 3 ﷮2﷯﷮ 7 + 3 ﷮2﷯﷯ 7 − 3 ﷮2﷯ ﷯﷯ = 7 − 3 ﷮2﷯﷮ (7)﷮2﷯ − 3 ﷮2﷯ ﷯﷮2﷯﷯ = 7 − 3 ﷮2﷯﷮49 − 3 ×3 × ﷮2﷯ × ﷮2﷯ ﷯﷯ = 7 − 3 ﷮2﷯﷮49 − (9 × 2)﷯ = 7 − 3 ﷮2﷯﷮49 − 18﷯ = 𝟕 − 𝟑 ﷮𝟐﷯﷮𝟑𝟏﷯

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.