-5/sqrt5 - sqrt 3
I have the answer but I forgot to show my work and now I forgot how I did the work
which is the problem: \(\large \frac{-5}{\sqrt5}-\sqrt3 \) or \(\large \frac{-5}{\sqrt5-\sqrt3} \) ????
the second one
if the question is to simplify the expression, multiply both numerator and denominator by the conjugate of the denominator..
\[\large \frac{-5}{\sqrt{5}-\sqrt{3}}\] 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 :)
what would the conjugate of the denominator be?
yeah
so would my final answer be -5/2 sqrt 3 -5/2 sqrt 5
over 2 as Jhannybean showed above
thank you so much!
the denominator factors out as shown \[\large (\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})\]\[\large 5-\sqrt{15}+\sqrt{15}-3=2\]
ty
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