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haterofmath
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ \sqrt{18} }{ \sqrt{36} }=\frac{ \sqrt{2} }{ 2 }\]

phi
 2 years ago
Best ResponseYou've already chosen the best response.1yes. you can see it is true by factoring each number into its prime factors 18 is 2*9 = 2*3*3 36 is 2*18= 2*2*9= 2*2*3*3 when these are under a square root \[ \frac{\sqrt{2\cdot 3\cdot 3}}{\sqrt{2\cdot 2\cdot 3 \cdot 3} }\] you can "pull out" pairs. in the top, 3*3 out of the square root becomes 3 in the bottom both 2 and 3 come out \[ \frac{3 \sqrt{2}}{2\cdot 3} \] we can divide top and bottom by 3 to simplify to \[ \frac{\sqrt{2}}{2} \]

phi
 2 years ago
Best ResponseYou've already chosen the best response.1of course, if you know 6*6=36 you can just replace the bottom sqrt(36) with 6 right away.

haterofmath
 2 years ago
Best ResponseYou've already chosen the best response.0so the question ask to simplify

phi
 2 years ago
Best ResponseYou've already chosen the best response.1sqrt(2)/2 is as simple as it gets. you could write it as 1/sqrt(2) but people do not sqrt's in the denominator.

haterofmath
 2 years ago
Best ResponseYou've already chosen the best response.0ok. so i have another problem...it says to multiply and simplify \[(3\sqrt{10}2\sqrt{2})^2=9824\sqrt{5}\]

phi
 2 years ago
Best ResponseYou've already chosen the best response.1it looks like they gave you the answer. But to show how to do it, use FOIL on ( 3 sqrt(10)  2 sqrt(2) )* ( 3 sqrt(10)  2 sqrt(2) )

phi
 2 years ago
Best ResponseYou've already chosen the best response.1here is an example of how to do this http://www.khanacademy.org/math/algebra/polynomials/v/multiplyingbinomialswithradicals

haterofmath
 2 years ago
Best ResponseYou've already chosen the best response.0so it will just be \[(3\sqrt{10}2\sqrt{2})(3\sqrt{10}2\sqrt{2})=9824\sqrt{5}\]

phi
 2 years ago
Best ResponseYou've already chosen the best response.1yes, but I think they want you to do the multiplication and get the answer they show you.

haterofmath
 2 years ago
Best ResponseYou've already chosen the best response.0how would you do that?

phi
 2 years ago
Best ResponseYou've already chosen the best response.1This video http://www.khanacademy.org/math/algebra/polynomials/v/multiplyingbinomials and the other one posted go into the details.
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