Answer
$34-10\sqrt{10}$
Work Step by Step
$(\sqrt{10}-4)(\sqrt{10}-6)$
Use the FOIL method to multiply the binomial.
Multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
$(\sqrt{10}\times\sqrt{10})+(-6\times\sqrt{10})+(-4\times\sqrt{10})+(-4\times(-6))$
Simplify.
$10-6\sqrt{10}-4\sqrt{10}+24$
Combine like terms/like radicals.
$34-10\sqrt{10}$
