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Example 4 - Chapter 5 Class 11 CBSE NCERT - a + ib - Convert to a + ib form

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Transcript

Example 4 Express (−√(3 ) "+ " √(−2) ) (2√3−𝑖) in the form of a + ib (−√3 "+ " √(−2) ) (2√3−𝑖) = (−√3 " + " √(− 1×2) ) (2√3−𝑖) = ("− " √3 " + " √(− 1 )×√(2 ) ) (2 √3−𝑖) = (−√3 " + i" √(2 )) (2 √3−𝑖) = (−√3 " " ) (2 √3−𝑖) "+ i" √(2 ) (2 √3−𝑖) = −√3 ×(2√3 ) − √3 ×( −𝑖) + i √2 × (2√3 ) + i √2 ×"("−𝑖) = − 3 × 2 + √3i + 2 i √(2×3) – i 2 √2 = − 6 + √(3"i" ) + 2"i" √(2×3) − ( −1 ) √2 = − 6 + √(3"i" ) + 2√(2×3) 𝑖 + √2 = (−6+√(2 ) ) + √3 𝑖+2 √(2×3) 𝑖 = (−6+√(2 ) ) + √3 𝑖(1+2√(2 ))

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