Answer
13
Work Step by Step
$(\sqrt{10}+\sqrt3)(\sqrt{10}-\sqrt3)$
Use the FOIL method to multiply the binomials.
$(\sqrt{10}\times\sqrt{10})+(\sqrt{3}\times\sqrt{10})+(-\sqrt3\times\sqrt{10})+(\sqrt3\times\sqrt3)$
Use the product rule for square roots.
$10+\sqrt{30}-\sqrt{30}+3$
Combine like terms.
$13$
