( \sqrt{ 5 \phantom{\tiny{!}}} - \sqrt{ 2 \phantom{\tiny{!}}} )( \sqrt{ 5 \phantom{\tiny{!}}} + \sqrt{ 2 \phantom{\tiny{!}}} )

asked by guest
on Sep 21, 2024 at 10:19 pm



You asked:

Evaluate the expression: \(\left(\sqrt{5} - \sqrt{2}\right) \cdot \left(\sqrt{5} + \sqrt{2}\right)\)

MathBot Answer:

\[\left(\sqrt{5} - \sqrt{2}\right) \cdot \left(\sqrt{5} + \sqrt{2}\right) = \left(- \sqrt{2} + \sqrt{5}\right) \left(\sqrt{2} + \sqrt{5}\right) \approx 3.0\]

\[\begin{aligned}\left(\sqrt{5} - \sqrt{2}\right) \cdot \left(\sqrt{5} + \sqrt{2}\right)& = \left(\sqrt{5} - \sqrt{2}\right) \cdot \left(\sqrt{2} + \sqrt{5}\right)\\& = \left(\sqrt{2} + \sqrt{5}\right) \cdot \left(\sqrt{5} - \sqrt{2}\right)\end{aligned}\]

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