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Mathematics 14 Online
OpenStudy (sparklestaraa):

Which statement is true about the product

OpenStudy (sparklestaraa):

OpenStudy (sparklestaraa):

@misty1212

OpenStudy (misty1212):

is this \[\sqrt2(3\sqrt2+\sqrt{18})\]?

OpenStudy (misty1212):

looks kind of weird, but if so when you multiply you get \[3\times 2+\sqrt{36}=6+6\]

OpenStudy (anonymous):

Distribute the square root of two and then simplify.

OpenStudy (aakashsudhakar):

The answer would be "It is rational and equal to 12." This is due to the breakup of the problem that follows: \[\sqrt{2}(3\sqrt{2}+\sqrt{18})\] \[\sqrt{2}(3\sqrt{2}+\sqrt{9*2})\] \[\sqrt{2}(3\sqrt{2}+3\sqrt{2})\] \[\sqrt{2}(6\sqrt{2})\] \[6*2 = 12\]

OpenStudy (anonymous):

It's basically just like any other distributing equation, except you have square roots.

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