Answer
$46 + 16\sqrt {5}$
Work Step by Step
Use the FOIL method to expand:
$(3)(2) + (3)(4\sqrt {5}) + (2\sqrt {5})(2) + (2\sqrt {5})(4\sqrt {5})$
Multiply to simplify:
$=6 + 12\sqrt {5} + 4\sqrt {5} + 8\sqrt {25}$
Simplify radicals:
$=6 + 12\sqrt {5} + 4\sqrt {5} + 8(5)\\
=6 + 12\sqrt {5} + 4\sqrt {5} + 40$
Combine like terms:
$=46 + (12+4)\sqrt {5}$
$=46 + 16\sqrt {5}$
