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Taxia2
 11 months ago
how would you solve this rational equation?
Taxia2
 11 months ago
how would you solve this rational equation?

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Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1\[\sqrt{15x}(\sqrt{18x}+\sqrt{15x})\]

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1There is no equation to solve? Are you to multiply?

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1oops, it is supposed to be simplified!

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1but that is the equation, I have the answer, but I am unsure how to get to it.

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1So we want to simplify the expression. Again there is no equation. Just so you know assuming we have x>=0 you can write \[\sqrt{18x}=\sqrt{18} \sqrt{x}\] and you can also do the same for the other terms too.

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1Do you know how to multiply \[\sqrt{x} \cdot \sqrt{x}?\]

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1wouldn't that just be x?

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1right another question! Do you know the distributive property?

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1so you know if you have a(b+c) you can do ab+ac

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1so you have \[\sqrt{15} \sqrt{x}(\sqrt{18} \sqrt{x}+\sqrt{15} \sqrt{x})\]

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1so you can treat the thing on the outside of the parenthesis just like that a above

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1yes, but wouldn't all of the square roots cancel out? I tried this but the answer i received had no square roots in it. But the answer that is given does...

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1Is 15*18 a perfect square? I don't think it is. So you would have at least one square root in your answer. What do you think the answer is?

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1well, the given answer is \[3x \sqrt{30} +15x\] so first I simplified what i could inside the parenthesis and got \[\sqrt{15x} (3\sqrt{2x} + \sqrt{15x})\] and then I distributed (Like you said!) and got this \[3\sqrt{30x ^{2}} + \sqrt{15^{2}x ^{2}}\] then I canceled out the roots (like you said) and got the answer!

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1beautiful you didn't need my help

Taxia2
 11 months ago
Best ResponseYou've already chosen the best response.1I did! If I hadn't had it I probably would have given up (as cliche as that sounds) Thank you so much for working me through it!
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