334. Multiply: $(\sqrt{8}-\sqrt{2}) \cdot(\sqrt{7}-\sqrt{3})$.

## Problems by N. Tartaglia from "Generale trattato".
334. $\sqrt{5} \overline{6}-\sqrt{24}-\sqrt{14}+\sqrt{6}$.

Simplification gives: $\sqrt{14}-\sqrt{6}$.

Niccolò Tartaglia (1499-1557), a famous Italian mathematician, provided a formula for expressing the roots of cubic

![](https://cdn.mathpix.com/cropped/2024_05_21_926f0bb262c8f9569516g-151.jpg?height=388&width=593&top_left_y=1211&top_left_x=366)

Fig. 72. equations, known in science as Cardano's formula. Tartaglia's most important work, "Generale trattato," contains an exposition of arithmetic, algebra, geometry, and conic sections.