Question

Help with this one.

(3sqrt3 + sqrt 2) (sqrt3 - sqrt2) expressed as a + bsqrtc

Answer 1

\[(3\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2}) \]

Answer 2

Expressed in \[a + b \sqrt{c}\] form!

Answer 3

9 - 3sqrt3*sqrt2 +sqrt3*sqrt2 - 2
= 7 - 2sqrt3*sqrt2

Answer 4

Foil it out:
\[3(\sqrt3)^2-3\sqrt2\sqrt3+\sqrt2\sqrt3-(\sqrt2)^2=9-3\sqrt6+\sqrt6-2=7-2\sqrt6\]

Answer 5

= 7 - 2sqrt6