Question

$$\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}; \frac{\sqrt{12}}{\sqrt{3}-\sqrt{2}}$$

Answer

(3*sqrt(2)-2*sqrt(3))/(3*sqrt(2)+2*sqrt(3));(2*sqrt(3))/(sqrt(3)-sqrt(2))

Solution


Simplify  \(\sqrt{12}\)  to  \(2\sqrt{3}\).
\[\begin{aligned}&\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}\\&\frac{2\sqrt{3}}{\sqrt{3}-\sqrt{2}}\end{aligned}\]