# Chapter 8 - Mid-Chapter Check Point - Page 594: 6

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. $13$

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