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Example 20 Rationalize the denominator of 1/(7 + 3√2 ). 1/(7 + 3√2 ) = 1/(7 + 3√2) Γ— (πŸ• βˆ’ πŸ‘βˆšπŸ)/(πŸ• βˆ’ πŸ‘βˆšπŸ) = (7 βˆ’ 3√2)/(7 + 3√2)(7 βˆ’ 3√2) = (7 βˆ’ 3√2)/((πŸ•)^𝟐 βˆ’ (πŸ‘βˆšπŸ)^𝟐 ) = (7 βˆ’ 3√2)/(49 βˆ’ (3 Γ— 3 Γ— √2 Γ— √2) ) = (7 βˆ’ 3√2)/(49 βˆ’ (9 Γ— 2) ) ( As (a + b)(a – b) = a2 – b2 ) = (7 βˆ’ 3√2)/(49 βˆ’ 18) = (πŸ• βˆ’ πŸ‘βˆšπŸ)/πŸ‘πŸ

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.