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Rationalising

Laws of exponentsΒ β†’
Chapter 1 Class 9 Number Systems
Concept wise

Rationalising denominator of irrational number

Last updated at May 29, 2023 by

Rationalising denominator of irrational number - Rationalising

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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Transcript

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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.