# Roots of Complex Numbers

### Topic Page

Roots of Complex Numbers### Questions

- How do I find the cube root of a complex number?
- How do I find the fourth root of a complex number?
- How do I find the fifth root of a complex number?
- How do I find the nth root of a complex number?
- How do I find the square root of a complex number?
- What is the square root of #2i#?
- What is the cube root of #(sqrt3 -i)#?
- What are roots of unity?
- How do I find the square roots of #i#?
- How do you solve #6x^2-5x+3=0#?
- If #z in CC# then what is #sqrt(z^2)#?
- #z# is a complex number, #z=a+ib# and #(2+i)z=1-z#, what is #z# in terms of #i# ?
- Find the fourth roots of #-17i#?
- How do you simplify #z^6 = a + bi# given #z = sqrt 3 + i#?
- How do you find the nth root of -1?
- How do you find the nth root of n!?
- How do you find the 4th root of #2 (cos (pi/4) + isin(pi/4)) #?
- How do you find the cube root of #64 (cos (pi/5) + isin (pi/5)) #?
- How do you find the cube root of #81 (cos (pi/12) + isin (pi/12))#?
- How do you find the 6th root of #sqrt3-i #?
- How do you find the square root of #16 ( cos ((2pi)/3) + i sin ((2pi)/3))#?
- How do you find the fourth root of #-8 + 8sqrt3i#?
- Solve the equation #z^4+81i=0#?
- How do you find the square root of #5(cos120+isin120)#?
- How do you find the square root of #16(cos60^@+isin60^@)#?
- How do you find the fourth root of #16(cos((4pi)/3)+isin((4pi)/3))#?
- How do you find the fifth root of #32(cos((5pi)/6)+isin((5pi)/6))#?
- How do you find the cube root of #-125/2(1+sqrt3i)#?
- How do you find the cube root of #-4sqrt2(1-i)#?
- How do you find all solutions to #x^4-i=0#?
- How do you find all solutions to #x^3+1=0#?
- How do you find all solutions to #x^5+243=0#?
- How do you find all solutions to #x^4-81=0#?
- How do you find all solutions to #x^3+64i=0#?
- How do you find all solutions to #x^6-64i=0#?
- How do you find all solutions to #x^3-(1-i)=0#?
- How do you find all solutions to #x^4+(1+i)=0#?
- How do we use intermediate value theorem to identify zeros of a function?
- How do I find a solution to #e^(2x) = 8e^(x) + 20# ?
- Find the square roots of the complex number. (Enter your answers as a comma-separated list. Round terms to four decimal places.) ?
- Solve for #n#, #(-1/2+ iota sqrt(3)/2)^3 + (-1/2-iota sqrt(3)/2)^(2n)=2# ?
- Find all the #8^(th)# roots of #3i-3#?
- What roots of #z^4+z^2+1 = 0# satisfy #abs(z) < 1# ?
- Find the roots of #z^5+1=0#?
- #omega# is a cube root of unity. Show the following?
- Solve the equation #x^2+12=0#?