Question

simplify (1/√2)^3-2(1/√2)^3+7(1/√2)

Answer 1

$( \frac{1}{ \sqrt{2} } )^{3} - 2 {( \frac{1}{ \sqrt{2} } )}^{3} + 7( \frac{1}{ \sqrt{2} } ) \\ \frac{1}{2 \sqrt{2} } - 2 \times \frac{1}{2 \sqrt{2} } + \frac{7}{ \sqrt{2} } \\ \frac{1}{2 \sqrt{2} } - \frac{1}{ \sqrt{2} } + \frac{7}{ \sqrt{2} } \\ \frac{1 - 2 + 7 \times 2}{2 \sqrt{2} } \\ \frac{1 - 2 + 14}{2 \sqrt{2} } \\ \frac{15 - 2}{2 \sqrt{2} } \\ \frac{13}{2 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \frac{13 \sqrt{2} }{4} \: \: \: \: ans.$
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