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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
- Evaluate the following: sqrt((-49)/25)xx sqrt((-1)/9).
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- Evaluate the following: sqrt(-16)+3 sqrt(-25)+ sqrt(-36) -sqrt(-625)...
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- Simplify : sqrt ((-x)/16)+ sqrt ((-x)/25)-sqrt ((-x)/36), where x is a...
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- Prove that : 1+i^2+i^4+i^6=0.
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- Prove that : i^12+i^13+i^14+i^15=0.
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- Prove that : i^104+i^109+i^114+i^119=0.
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- Prove that : 1/i-1/i^2+1/i^3-1/i^4=0.
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- Prove that : 6i^54+5i^37-2i^11+6i^68=7i.
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- Prove that : (i^592+i^590+i^588+i^586+i^584)/(i^582+ i^580+i^578+i^5...
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- Prove that : (1-i)^2= -2i.
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- Prove that : (1+i)^4 xx(1+1/i)^4=16.
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- Find the value of [i^19+(1/i)^25]^2
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- Prove that : 2i^2+6i^3+3i^16-6i^19+4i^25=1+4i.
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- Prove that 1+ i^10+i^20+i^30 is a real number.
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- Show that (-sqrt(-1))^(4n+3)=i, where n is a positive integer.
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- Write the following as complex numbers : sqrt(-27).
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- Write the following as complex numbers : sqrt x, (x > 0).
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- Write the following as complex numbers : 1+sqrt (-1).
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- Write the following as complex numbers : 4-sqrt (-5).
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- Write the following as complex numbers : sqrt 3/2- (sqrt (-2))/7.
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