Find the three cube roots of 1

Q: Find the three cube roots of -8i.

A:

Q: Find the 4 fourth roots of -8+8i(square root of 3)

A: Let, z=-8+83i Since, nth root of any complex number w is defined as, wn=rncosθ+2kπn+isinθ+2kπn

Q: Determine all cube roots of -4. Express your answers in both exponential form and x + iy form.

A: In this question, we will find all the cube roots of -4.

Q: Find all the real square roots of 0.0004. 0.00632 and -0.00632 0.06325 and-0.06325 0.0002 and…

A: The square root of 0.0004 can be determined using the general method.   Write 0.0004 in the general…

Q: find the cube roots of 125i (all of them)

A: The given complex number is z = 125i

Q: Find the two square roots of the number 16

A: We have to find square root

Q: Find the fifth roots of ( -128  + i)

A:

Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: Find the cube root of 1 + z

A:

Q: Find the 2 square roots of 3 -8i

A: The general form of a complex number is given by a+ib, where a, b are two real numbers and i=-1. If…

Q: Find all the sixth roots of 1.

A: De Moivre's theorem for roots of complex numbers: Suppose z= rcosθ+isinθ be a complex number then…

Q: Find the three cube roots of  z= -2 + i

A: Given The given complex number is z=-2+i. Use De Moivre's theorem for nth root of complex number…