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-6√2(-7√5-9√2) put in simplest form:
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\[-6\sqrt{2}(-7\sqrt{5}-9\sqrt{2})~~~⇒~~~ (-6\sqrt{2}) \times (-7\sqrt{5})~~+~~(-6\sqrt{2}) \times (-9\sqrt{2})~~~~EXPAND.\]
the answers are A.)420+54√2 B.) 54√2+42√10 C.) 42√10+108 D.) 84
\[(-6) \times (-7) \times (\sqrt{5}) \times (\sqrt{2})\]you can multiply the roots and the numbers together.\[42\sqrt{10}\]and this is plus\[(-6) \times (-9) \times (\sqrt{2}) \times (\sqrt{2})~~~~~=~~~54 \times 2~~~~~=~~~108\]\[So,~~~~~~108+42\sqrt{10}\]
\[It~~~~is~~~~C\]
okay thanks!
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