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anonymous
 4 years ago
How do I simplify 2√6 / 2√6 + 1? The answer is 24  2√6 / 23?.. How? D:
anonymous
 4 years ago
How do I simplify 2√6 / 2√6 + 1? The answer is 24  2√6 / 23?.. How? D:

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asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2use the identity:\[a^2b^2=(a+b)(ab)\]to remove the radical expression in the denominator. so, in this case, multiply numerator and denominator by \(2\sqrt{6}1\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that's what I did but should I be multiply 2 x 2 cand √6 x √6?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2\[\frac{2\sqrt{6}}{2\sqrt{6}+1}=\frac{2\sqrt{6}}{2\sqrt{6}+1}*\frac{2\sqrt{6}1}{2\sqrt{6}1}=\frac{2\sqrt{6}(2\sqrt{6}1)}{(2\sqrt{6}+1)(2\sqrt{6}1)}\]\[=\frac{(2*\sqrt{6}*2*\sqrt{6}2\sqrt{6})}{(2\sqrt{6})^21^2}=\frac{4*62\sqrt{6}}{4*61}=\frac{242\sqrt{6}}{23}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Although, I don't understand why the exercise is called "simplify". There is nothing simple about the alternate form.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2having no radicals in the denominator is considered "simpler"

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2\[a(b+c)=ab+ac\]so:\[2\sqrt{6}(2\sqrt{6}1)=(2\sqrt{6})*(2\sqrt{6})(2\sqrt{6})*1\]\[=2*2*\sqrt{6}*\sqrt{6}2\sqrt{6}=4*62\sqrt{6}=242\sqrt{6}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you multiplied it by 1, why?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ohh, so it's not 2√6?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2it is  look at what I typed up there, you do get \(2\sqrt{6}\) when you multiply \(2\sqrt{6}\) by 1.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2I guess I used:\[a(bc)=abac\]in this case.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.2do you understand the process now?
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