-3 - √5 + 1/√5 minus 3
You asked:
Evaluate the expression: \(-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3\)
MathBot Answer:
\[-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3 = -6 - \frac{4 \sqrt{5}}{5} \approx -7.78885438199983175712733893498502\]
\[\begin{aligned}-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3& = -3 - \sqrt{5} + \frac{1}{5} \cdot \sqrt{5} - 3\\& = \left(-3 - \sqrt{5}\right) + \frac{1}{5} \cdot \sqrt{5} - 3\\& = \left(-3 - \frac{4}{5} \cdot \sqrt{5}\right) - 3\\& = -6 - \frac{4}{5} \cdot \sqrt{5}\end{aligned}\]