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anonymous
 one year ago
Rationalize the denominator and simplify.
anonymous
 one year ago
Rationalize the denominator and simplify.

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AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1Hi, welcome to OpenStudy.

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1To rationalize the denominator, you must multiply the numerator and denominator by the conjugate of the denominator. What is the conjugate of \(\sqrt{a}2\sqrt{y}\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you would just switch the subtraction to addition right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how did you make that square root symbol

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1It's called latex. `\(\sqrt{a}\)` That's the code to do it. You can also use the equation button to do it easier :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok cool so wouldnt it be

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{a}+2\sqrt{y}\]

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1So now, lets do the multiplication. \(\Large\frac{\sqrt{a}+2\sqrt{y}}{\sqrt{a}2\sqrt{y}}\times \frac{\sqrt{a}+2\sqrt{y}}{\sqrt{a}+2\sqrt{y}}=?\)

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1Hint: \(\sf\Large (x+y)(x+y)=x^2+2xy+y^2\) \(\sf\Large (x+y)(xy)=x^2y^2\)

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1Ok, lets multiply the numerators first. \(\sf\Large (\sqrt{a}+2\sqrt{y})\times (\sqrt{a}+2\sqrt{y})=?\)

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1Use the formula I gave you above.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{a^2}+4\sqrt{y^2}\]

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1\(\sf\Large (\sqrt{a}+2\sqrt{y})\times (\sqrt{a}+2\sqrt{y})=?\) Use the formula: \(\sf\Large (x+y)\times (x+y)= x^2+2xy+y^2\) remember: x, y, a, and b are all variables.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Lyralei can you help me

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.1Where are you lost at?
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