-3 - √5 + 1/√5-3

asked by guest
on Sep 20, 2024 at 5:13 pm



You asked:

Evaluate the expression: \(-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3\)

MathBot Answer:

\[-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3 = -6 - \frac{4 \sqrt{5}}{5} \approx -7.78885438199983175712733893498502\]

\[\begin{aligned}-3 - \sqrt{5} + \frac{1}{\sqrt{5}} - 3& = -3 - \sqrt{5} + \frac{1}{5} \cdot \sqrt{5} - 3\\& = \left(-3 - \sqrt{5}\right) + \frac{1}{5} \cdot \sqrt{5} - 3\\& = \left(-3 - \frac{4}{5} \cdot \sqrt{5}\right) - 3\\& = -6 - \frac{4}{5} \cdot \sqrt{5}\end{aligned}\]

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