How do you rationalize the #sqrt5/sqrt8#?

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Answer 1 · 2015-03-30T19:33:59

You can multiply and divide by #sqrt(8)# to get:
#sqrt(5)/sqrt(8)*sqrt(8)/sqrt(8)=sqrt(5*8)/8=sqrt(40)/8=sqrt(4*10)/8=2sqrt(10)/8=sqrt(10)/4#