Answer
$25-8\sqrt{10}$
Work Step by Step
$(\sqrt{10}-3)(\sqrt{10}-5)$
Use the FOIL method to multiply the binomial.
Multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
$(\sqrt{10}\times\sqrt{10})+(-5\times\sqrt{10})+(-3\times\sqrt{10})+(-3\times(-5))$
Simplify.
$10-5\sqrt{10}-3\sqrt{10}+15$
Combine lik terms/like radicals.
$25-8\sqrt{10}$
