Jesset C.

asked • 12/06/19

ALGEBRA PROBLEM!

2i7 - i4 + 2√-3 √-12 + 3√-4


(A) -19 - 2i

(B) -13 + 4i

(C) 11 + 4i

(D) -11 - 8i

(E) none of the above


For this I got (B) -13 + 4i, is this the correct answer?

2 Answers By Expert Tutors

By:

Aaron M. answered • 12/06/19

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Experienced math tutor

Mark H.

I assumed that it was simply 2(√-3)(√-12)
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12/06/19

Aaron M.

Ok, that seems reasonable. 2i7 - i4 + 2√-3 √-12 + 3√-4 breaks down into -2(i^7) or -2(1)(-i) or 2i. Subtract i^4 which is 1, then add (2i√3)(2i√3) which is -12. Next comes 6i. Add all together, 6i+(-2i√3)^2-5 and you'd get (6-2√3i)-1 or 1+8i. The only reasonable answer here is (E).
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12/06/19

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