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Which statement is true about the product
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@misty1212
is this \[\sqrt2(3\sqrt2+\sqrt{18})\]?
looks kind of weird, but if so when you multiply you get \[3\times 2+\sqrt{36}=6+6\]
Distribute the square root of two and then simplify.
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The answer would be "It is rational and equal to 12." This is due to the breakup of the problem that follows: \[\sqrt{2}(3\sqrt{2}+\sqrt{18})\] \[\sqrt{2}(3\sqrt{2}+\sqrt{9*2})\] \[\sqrt{2}(3\sqrt{2}+3\sqrt{2})\] \[\sqrt{2}(6\sqrt{2})\] \[6*2 = 12\]
It's basically just like any other distributing equation, except you have square roots.
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