If \(\sqrt[3]{(p + q)} + 4=0\), what is the sum of p and q ?
Explanation
Isolate \(\sqrt[3]{(p + q)} + 4=0\) on one side of the equation, then “cube” both sides:
\(3 \sqrt{(p+q})=-4\)
\((3\sqrt{(p + q)})^{3}=(-4)^{3}\)
\(p+q=-64\)
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