SOLUTION: Can someone help me simplify this? Perform the indicated operations. -6&#8730;<span style="text-decoration: overline">63</span> - 9&#8730;<span style="text-decoration: overline

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Question 792441: Can someone help me simplify this?
Perform the indicated operations.
-6√63 - 9√28 + 2√14

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
-6√63 - 9√28 + 2√14

Factor 63 as 9*7 and then as 3²·7, so 63 contains a perfect square factor

Factor 28 as 4*7 and then as 2²·7, so 28 contains a perfect square factor

Factor 14 as 2*7 but 14 does not contains a perfect square factor,
so we just leave it as 14

-6√3²·7 - 9√2²·7 + 2√14

We can take 3² out of the first square root as 3 
in front and take 2² out of the second square root 
as 2 in front, like this:

-6·3√7 - 9·2√7 + 2√14

-18√7 - 18√7 + 2√14

The first two terms combine as -36√7

-36√7 + 2√14

That's the simplest radical form.

Edwin

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