3√3/√5-√6

asked by guest
on Nov 17, 2024 at 9:25 pm



You asked:

Evaluate the expression: \(\frac{3 \cdot \sqrt{3}}{\sqrt{5}} - \sqrt{6}\)

MathBot Answer:

\[\frac{3 \cdot \sqrt{3}}{\sqrt{5}} - \sqrt{6} = - \sqrt{6} + \frac{3 \sqrt{15}}{5} \approx -0.12569973505872796708972483483645\]

\[\begin{aligned}\frac{3 \cdot \sqrt{3}}{\sqrt{5}} - \sqrt{6}& = 3 \cdot \sqrt{3} \cdot \frac{1}{\sqrt{5}} - \sqrt{6}\\& = 3 \cdot \frac{1}{5} \cdot \sqrt{15} - \sqrt{6}\\& = \frac{3}{5} \cdot \sqrt{15} - \sqrt{6}\\& = - \sqrt{6} + \frac{3}{5} \cdot \sqrt{15}\end{aligned}\]

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