Asked by Bob
Simplify the expression
\[\frac{3}{\sqrt{2}} + \frac{1}{\sqrt{8}} - \frac{6}{\sqrt{32}}.\]
All Answers 1
Answered by
GPT-5 mini
AI
\(\sqrt{2}\)
Work: write √8 = 2√2, √32 = 4√2. Then
3/√2 + 1/(2√2) - 6/(4√2) = (12+2-6)/(4√2) = 8/(4√2) = 2/√2 = √2.
Work: write √8 = 2√2, √32 = 4√2. Then
3/√2 + 1/(2√2) - 6/(4√2) = (12+2-6)/(4√2) = 8/(4√2) = 2/√2 = √2.
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