Question

Simplify (3√8)^-1/2
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Answer 1

Step-by-step explanation:

$(3 \sqrt{8} ) {}^{ - \frac{1}{2} } \\ = \frac{1}{(3 \sqrt{8}) {}^{ \frac{1}{2} } } \\ = \frac{1}{ \sqrt{3 \sqrt{8} } } \\ = \frac{1}{ \sqrt{3 \sqrt{8} } } \times \frac{ \sqrt{3 \sqrt{8} } }{ \sqrt{3 \sqrt{8} } } \\ = \frac{ \sqrt{3 \sqrt{8} } }{3 \sqrt{8} }$