Example 6 (i) - Chapter 4 Class 11 Complex Numbers

Last updated at April 16, 2024 by

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Example 6 Express the following in the form a + ib (5 + 2 i )/(1 2 i) (5 + 2 )/(1 2 ) Rationalizing = (( 5 + 2 ) )/((1 2 ) ) ((1 + 2 ))/((1 + 2 ) ) = (( 5 + 2 ) (1 + 2 ))/((1 2 ) (1 + 2 ) ) = ( ( 5 + 2 ) ( 1 + 2 ))/(( 1 )2 ( 2 )2) = ( ( 5 + 2 ) ( 1 + 2 ) )/(1 2 2) = ( 5 1 + 5 2 + 2 1 + 2 2 )/(1 2 2) = ( 5 + 5 2 + 2 + 2 2)/(1 2 2) Putting i 2 = 1 = ( 5 + 5 2 + 2 + 2 ( 1 ))/(1 2 ( 1 )) = ( 5 + 5 2 + 2 2)/(1 + 2) = ( 5 2 +5 2 + 2 )/3 = ( 3 + 6 2 )/3 = ( 3 ( 1+2 2 ))/3 = 1 + 2 2

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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