Question

How would I rationalize
14/(3+sqrt2)

Answer 1

\[\frac{14}{3+\sqrt2}\times \frac{3-\sqrt2}{3-\sqrt2}\] is a start

Answer 2

\[\frac{14}{3+\sqrt{2}}\]multiply top and bottom by (3 - sqrt(2)) to give
\[\frac{14}{(3+\sqrt{2})}*\frac{(3-\sqrt{2})}{(3-\sqrt{2})} = \frac{42-14\sqrt{2}}{9-2}\] and the rest of the steps should be obvious...