Question

Solve for z.

z^3 - 8=0
Write your answers in simplified, rationalized form.
it needs to have an i, square roots i don’t know how to answer it someone please help me

Answer 1

`\huge\text{Hey there!}`

`\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^((1)/(3))}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark`

`\textsf{Good luck on your assignment and enjoy your day!}`

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