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Rationalising denominator of irrational number - Rationalising

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We do not leave an irrational number in the denominator.

So, we rationalise the denominator.Β  Let us look at some examples

  1. Rationalise 1/√2
  2. Rationalise 1/2 +√3

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Some Identities (βˆšπ‘Ž)^2=π‘Ž √(π‘Ž^2 )=π‘Ž βˆšπ‘Žπ‘=βˆšπ‘Ž Γ—βˆšπ‘ √(π‘Ž/𝑏)=βˆšπ‘Ž/βˆšπ‘ (βˆšπ‘Žβˆ’βˆšπ‘)(βˆšπ‘Ž+βˆšπ‘)=π‘Žβˆ’π‘ (π‘Žβˆ’βˆšπ‘)(π‘Ž+βˆšπ‘)=π‘Ž^2βˆ’π‘ (βˆšπ‘Ž+βˆšπ‘)^2=π‘Ž+𝑏+2βˆšπ‘Žπ‘ (βˆšπ‘Ž+βˆšπ‘)(βˆšπ‘+βˆšπ‘‘)=βˆšπ‘Žπ‘+βˆšπ‘Žπ‘‘ + βˆšπ‘π‘ + βˆšπ‘π‘‘

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.