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Mathematics 18 Online
OpenStudy (anonymous):

rationalize 8√10/√2

OpenStudy (angela210793):

multiply ip and down with sqr2 8sqr20/2=4sqr20=8sqr5

OpenStudy (anonymous):

wait what

OpenStudy (angela210793):

up*\[8\sqrt{10}*\sqrt{2}/\sqrt{2}*\sqrt{2}=8\sqrt{20}/2=8\sqrt{5}\]

OpenStudy (anonymous):

i just don't understand the last bit.

OpenStudy (anonymous):

you get 4√20.. how does that = 8√5?

OpenStudy (anonymous):

\[\frac{8\sqrt{10}}{\sqrt{2}}\] \[=\frac{8\sqrt{10}}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}\] \[=\frac{8\sqrt{20}}{2}\] \[=4\sqrt{20}\] \[=8\sqrt{5}\]

OpenStudy (anonymous):

√4*√5 = 2√5

OpenStudy (angela210793):

yea *4 tht u get from 8/2 make it 8sqr5

OpenStudy (anonymous):

last step because \[\sqrt{20}=\sqrt{4\times 5}=\sqrt{4}\times \sqrt{5}=2\sqrt{5}\]

OpenStudy (anonymous):

what the heck? lol

OpenStudy (anonymous):

yes! 2√5 how is it 8√5

OpenStudy (angela210793):

look carefully wht Satellite has written

OpenStudy (anonymous):

I can follow everything but the random 8

OpenStudy (anonymous):

oh I guess I get it.

OpenStudy (angela210793):

Finally :):)

OpenStudy (anonymous):

was ghetting the 4 outside and the 4 inside confiused

OpenStudy (anonymous):

lol thanks guys.

OpenStudy (angela210793):

yw :)

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