How to get the simplest form of this radical expression:
33√2a−63√2a
Here is my work:
33√2a−63√2a
Since the radicands are the same, we just add the coefficients.
−33√2a3√2a
Since everything is under the same index it becomes:
−33√23√a
Did I do this correctly, if not can anyone tell me what I should do?
Thanks :-).
Answer
Your middle step is incorrect, it should be −33√2a not −33√2a3√2a. It should be 33√2a−63√2a=3×3√2a−6×3√2a=(3−6)×3√2a=−3×3√2a=−33√2a. I don't think −33√23√a is any simpler than −33√2a, but that's just my opinion.
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