(√2+5) (√2 - √3 ) = ... - ... + ... - ...

$$\begin{aligned} (\sqrt{2} + 5)(\sqrt{2} - \sqrt{3}) &= \sqrt{2} \cdot \sqrt{2} - \sqrt{2} \cdot \sqrt{3} + 5 \cdot \sqrt{2} - 5 \cdot \sqrt{3} \\ &= 2 - \sqrt{6} + 5\sqrt{2} - 5\sqrt{3} \end{aligned}$$ $$\begin{aligned} (\sqrt{2} + 5)(\sqrt{2} - \sqrt{3}) = 2 - \sqrt{6} + 5\sqrt{2} - 5\sqrt{3} \end{aligned}$$