(a) The principal cube root of 125, 3(125, is 5. Evaluate the expression x3 for each value...

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(a) The principal cube root of 125, 3(125, is 5. Evaluate the expression x3 for each value of x.
(i)
-5 + 5/3i 2

(ii)

-5 – 5/3i 2.

(b) The principal cube root of 27, 3(27, is 3. Evaluate the expression x3 for each value of x.
(i)

(ii)

(c) Use the results of parts (a) and (b) to list possible cube roots of (i) 1, (ii) 8, and (iii) 64. Verify your results algebraically?

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