## Algebra: A Combined Approach (4th Edition)

$\sqrt{2}(\sqrt{2}+x\sqrt{6})=2x\sqrt{3}+2$
$\sqrt{2}(\sqrt{2}+x\sqrt{6})$ Evaluate the product: $\sqrt{2}(\sqrt{2}+x\sqrt{6})=\sqrt{2^{2}}+x\sqrt{12}=...$ Rewrite the expression as $\sqrt{2^{2}}+x\sqrt{4\cdot3}$ and simplify: $...=\sqrt{2^{2}}+x\sqrt{4\cdot3}=2x\sqrt{3}+2$