Example 19 - Chapter 1 Class 9 Number Systems

Last updated at April 16, 2024 by

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Example 19 Rationalize 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) ) ( As (a + b)(a – b) = a2 – b2 ) = (7 − 3√2)/(49 − 18) = (𝟕 − 𝟑√𝟐)/𝟑𝟏

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo