Answer
a. $24$
b. $1$
Work Step by Step
a. Use the FOIL method to expand:
$(6)(6) + (6)(\sqrt {12}) + (-\sqrt {12})(6) + (-\sqrt {12})(\sqrt {12})$
Multiply to simplify:
$36 + 6\sqrt {12} - 6\sqrt {12} - \sqrt {144}$
Simplify radicals:
$36 - 12$
Combine like terms:
$24$
b. Use the FOIL method to expand:
$(3)(3) + (3)(-\sqrt {8}) + (\sqrt {8})(3) + (\sqrt {8})(-\sqrt {8})$
Multiply to simplify:
$9 - 3\sqrt {8} + 3\sqrt {8} - \sqrt {64}$
Simplify radicals:
$9 - 8$
Combine like terms:
$1$
