Learn All Concepts of Chapter 1 Class 9 - FREE. Check - Chapter 1 Class 9 Maths

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  1. Chapter 1 Class 9 Number Systems
  2. Concept wise

Transcript

If a = 5 + 2√6 and b = 1/π‘Ž, then what will be the value of π‘Ž^2+𝑏^2 ? a = 5 + 2√6 b = 1/π‘Ž = 1/(5 + 2√6) = 1/(5 + 2√6) Γ— (5 βˆ’ 2√6)/(5 βˆ’ 2√6) = (5 βˆ’ 2√6)/(5^2 βˆ’ (2√6)^2 ) = (5 βˆ’ 2√6)/(25 βˆ’ 24) We know that γ€–(π‘Ž+𝑏)γ€—^2 = π‘Ž^2+𝑏^2+ 2π‘Žπ‘ 𝒂^𝟐+𝒃^𝟐 = γ€–(𝒂+𝒃)γ€—^𝟐 βˆ’ πŸπ’‚π’ƒ Here, 𝒂+𝒃 = (5+2√6)+5(5βˆ’2√6) 𝒂𝒃 = (5+2√6) (5βˆ’2√6) Thus, π‘Ž^2+𝑏^2 = γ€–(π‘Ž+𝑏)γ€—^2 βˆ’ 2π‘Žπ‘ π‘Ž^2+𝑏^2=γ€–10γ€—^2βˆ’2 Γ— 1 =100βˆ’2 =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 9 years. He provides courses for Maths and Science at Teachoo.