Solve x3 - 125 = 0 by factoring the left side as the difference of two cubes and using the zero-factor property. Compare the solutions to those obtained by solving for x³ and then using trigonometric form and the nth root theorem. The solution set is { }. (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)

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: Express 81i in simplest radical form.

A: If n and x are positive integers and a is a real number, then axn=axn. Now write the given…

Q: Find the two square roots of the number 16

A: We have to find square root

Q: Multiply. (√-12) (√-3) (√-12) (√-3) = (Simplify your answer. Type an exact answer, using radicals as…

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.