The number โ(-1) is called: Complex number
(-1)ยนโน = -1
(-1)^(โ21/2) = -i
Multiplicative inverse of (0, -1) = (0, 1)
Multiplicative inverse of -i = i
Real part of 3/(โ6 โ โ(-12)) = (โ6)/6
Any real number โaโ is equal to: (a, 0)
Real part of (1 + 3i)/(2i) = 3/2
Modulus of -5i = 5
If z = -2 + 3i, then conjugate = -2 - 3i
aยฒ + bยฒ factors as: (a + ib)(a โ ib)
(0, 1) ร i = (-1, 0)
If Z = -7 - 24i, real part of โZ ร i = -4
If ฯ is a cube root of unity, (3 + ฯ)(3 + ฯยฒ) = 7
Complex cube roots of -1 are: -1, -ฯ, -ฯยฒ
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$BTC Targets: Target 1: Concept mastery in complex arithmetic
Target 2: Competitive exam accuracy improvement
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#ComplexNumbers #Mathematics #Algebra $BTC