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Mathematics 7 Online
OpenStudy (anonymous):

-5/sqrt5 - sqrt 3

OpenStudy (anonymous):

I have the answer but I forgot to show my work and now I forgot how I did the work

OpenStudy (anonymous):

which is the problem: \(\large \frac{-5}{\sqrt5}-\sqrt3 \) or \(\large \frac{-5}{\sqrt5-\sqrt3} \) ????

OpenStudy (anonymous):

the second one

OpenStudy (anonymous):

if the question is to simplify the expression, multiply both numerator and denominator by the conjugate of the denominator..

OpenStudy (jhannybean):

\[\large \frac{-5}{\sqrt{5}-\sqrt{3}}\] multiply by the conjugate \[\large \frac{-5}{\sqrt{5}-\sqrt{3}}*\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}\]simplify \[\frac{ -5(\sqrt{5}+\sqrt{3}) }{ (\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3}) }\]\[\large \frac{ -5(\sqrt{5}+\sqrt{3}) }{ 2 }\] Now just multiply in the -5 into the numerator and simplify :) you'll have your answer :)

OpenStudy (anonymous):

what would the conjugate of the denominator be?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

so would my final answer be -5/2 sqrt 3 -5/2 sqrt 5

OpenStudy (jdoe0001):

over 2 as Jhannybean showed above

OpenStudy (anonymous):

thank you so much!

OpenStudy (jhannybean):

the denominator factors out as shown \[\large (\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})\]\[\large 5-\sqrt{15}+\sqrt{15}-3=2\]

OpenStudy (anonymous):

ty

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