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MATH / Let the roots of

Problem

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problem

Let the roots of z3=2+2iz^3 = 2 + 2ibe a1+ib1,a_1 + ib_1, a2+ib2,a_2 + ib_2, and a3+ib3.a_3 + ib_3. Compute a1a2a3.a_1 a_2 a_3.
Plain-text mathematical notation (without MathML)
Let the roots of
z³=2+2ibe a₁+ib₁, a₂+ib₂, and a₃+ib₃.  Compute a₁a₂a₃.
Original LaTeX notation
Let the roots of
\[z^3 = 2 + 2i\]be $a_1 + ib_1,$ $a_2 + ib_2,$ and $a_3 + ib_3.$  Compute $a_1 a_2 a_3.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
e67abfa9-f3cb-5743-92d3-9575eae17584
task_key
intermediate~5falgebra--test--e67abfa9-f3cb-5743-92d3-9575eae17584
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import