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Last updated at June 29, 2018 by Teachoo
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Ex5.1, 11 Find the multiplicative inverse of the Complex number 4 โ 3๐ Multiplicative inverse of z = z โ 1 Multiplicative inverse of z = 1/๐ง Putting z = 4 โ 3i multiplicative inverse of 4 โ 3i = 1/(4 โ3 ๐) Rationalizing = 1/(4 โ3๐) ร(4 + 3๐)/(4 + 3๐) = (4+3i)/(4 โ3i)(4 + 3๐) Using (a โ b ) ( a + b ) = a 2 โ b 2 = (4 + 3๐)/((4)2โ(3๐)2) = (4 + 3i)/(16 โ 9๐2) Putting i 2 = โ 1 = (4 + 3๐)/(16 โ9 (โ1) ) = (4 + 3๐)/(16 + 9) = (4 + 3๐)/25 = 4/25+3/25 ๐
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