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OpenStudy (anonymous):
Rationalize the denominator of 4/ 5 + square root 2
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OpenStudy (anonymous):
\[\frac45 + \sqrt 2 ... or... \frac4{5 + \sqrt2}\]
OpenStudy (anonymous):
the second one
OpenStudy (anonymous):
I mean, which one of my interpretations is correct ? ..
OpenStudy (anonymous):
oh ok!
OpenStudy (anonymous):
:)
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OpenStudy (shane_b):
I''m pretty sure she means:
\[(\frac{4}{5\sqrt{2}})(\frac{\sqrt{2}}{\sqrt{2}})=\frac{4 \sqrt {2}}{5(2)}=\frac{4 \sqrt {2}}{10}=\frac{2 \sqrt {2}}{5}\]
OpenStudy (anonymous):
\[\frac4{5+\sqrt2} \times \frac{5-\sqrt2}{5-\sqrt2}\]
\[= \frac{4(5-\sqrt2)}{5^2 - (\sqrt2)^2}\]
Solve the same to get your answer !! :)
OpenStudy (anonymous):
\[20 - 4\sqrt{2} / 23 ?\]
OpenStudy (anonymous):
is that it?
OpenStudy (anonymous):
Absolutely! :)
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OpenStudy (anonymous):
thanks for your help! :)
OpenStudy (shane_b):
Did you check the answer?
OpenStudy (anonymous):
yes. it's correct! :)
OpenStudy (shane_b):
Nm....I somehow forgot all about the 5+ sqrt(2)....I just did 5sqrt(2) for the denominator. I was like, I KNOW mine is right!
OpenStudy (anonymous):
Lol its alright :)
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OpenStudy (shane_b):
Reading is fundamental :P
OpenStudy (anonymous):
couldn't agree more lolll
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