Question

What is the following product?

(StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)

A. 6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
B. 6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
C. 3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
D. 2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot

Answer 1

Answer:

A. $6\sqrt{2}\ - 2\sqrt{30}\ + 6\ - 2\sqrt{15}$

Step-by-step explanation:

$(\sqrt{12}\ + \sqrt{6}) (\sqrt{6}\ - \sqrt{10} )$

$\sqrt{12}\ (\sqrt{6}\ - \sqrt{10} ) + \sqrt{6}\ (\sqrt{6}\ - \sqrt{10} )\\\\\sqrt{72}\ - \sqrt{120}\ + 6\ - \sqrt{60}\\\\\sqrt{(36)(2)}\ - \sqrt{(4)(30)}\ + 6\ - \sqrt{(4)(15)}\\\\6\sqrt{2}\ - 2\sqrt{30}\ + 6\ - 2\sqrt{15}$

Answer 2

Answer:

Its A

Step-by-step explanation:

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