Algebra: A Combined Approach (4th Edition)

$\sqrt 6 + 7\sqrt 3 - \sqrt 10 - 7\sqrt 5$
Step 1: The expression to be multiplied is, $(\sqrt 3 - \sqrt 5)(\sqrt 2 +7)$ Step 2: Using the FOIL order, $(\sqrt 3)(\sqrt 2) + (\sqrt 3)(7) - (\sqrt 5)(\sqrt 2) -(\sqrt 5)(7)$ Step 3: $\sqrt (3\times2) + 7\sqrt 3 - \sqrt (5\times2) - 7\sqrt 5$ Step 4: $\sqrt 6 + 7\sqrt 3 - \sqrt 10 - 7\sqrt 5$