Find the complex square root of
$$7+6\sqrt2i$$
giving your answer in the form $x+iy$ where $x$ and $y$ are real.
The answer I have gotten is $-23+84\sqrt2i$
by squaring $7+6\sqrt2i$,
but the “correct” answer is $\pm(3+i\sqrt2)$.
Can you explain how I got this wrong?
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