## Intermediate Algebra for College Students (7th Edition)

$2\sqrt{17} - \sqrt{19}$
Regroup the terms to obtain: $=(8\sqrt{17}-6\sqrt{17})+(4\sqrt{19}-5\sqrt{19})$ RECALL: The distributive property states that for any real numbers a, b, and c: (1) $ac + bc = (a+b)c$ (2) $ac - bc = (a-b)c$ Use rule (1) above to combine like terms: $=(8-6)\sqrt{17} + (4-5)\sqrt{19} \\=2\sqrt{17} + (-1)\sqrt{19} \\=2\sqrt{17} - \sqrt{19}$