Answer: [tex]-8\sqrt{2}[/tex]
This is the same as writing -8*sqrt(2)
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Work Shown:
[tex]7\sqrt{32} - 6\sqrt{72}\\\\7\sqrt{16*2} - 6\sqrt{36*2}\\\\7\sqrt{16}*\sqrt{2} - 6\sqrt{36}*\sqrt{2}\\\\7*4*\sqrt{2} - 6*6*\sqrt{2}\\\\28\sqrt{2} - 36\sqrt{2}\\\\(28 - 36)\sqrt{2}\\\\-8\sqrt{2}\\\\[/tex]
In the second step, I factored each radicand such that I wanted to pull out the largest perfect square factor possible. Then I used the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
