Complex numbers + square root - practice problems
Number of problems found: 11
- Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3
- Subtract polar forms
Solve the following 5.2∠58° - 1.6∠-40° and give answer in polar form
- Determine 3888
Determine the sum of the three-third roots of the number 64.
- Equation: 3726
Determine the real root of the equation: x-3: x-8 = 32
- Fifth 3871
What is the sum of the fifth root of 243?
- Complex roots
Find the sum of the fourth square root of the number 16.
- Determine 3882
Determine the sum of the three square roots of 343.
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand
- Subtracting complex in polar
Given w =√2(cosine (pi/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ). What is w - z expressed in polar form?
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- Instantaneous 76754
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2, sin( ωt - 30 °). Thanks for any help or advice.
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Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.