How do you simplify #sqrt(5) / sqrt(8)#?

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Answer 1 · 2016-05-13T13:23:50

#sqrt(10)/4#

Given:#" "sqrt(5)/sqrt(8)#

Multiply by 1 but in the form of #1=sqrt(8)/sqrt(8)#

#" "=sqrt(5)/sqrt(8)xxsqrt(8)/sqrt(8)#

#" "=(sqrt(5)sqrt(8))/8#

But #8# is the same as #2^2xx2" so "sqrt(8)=2sqrt(2)#

#" "=(2sqrt(5)sqrt(2))/8 " "=" "sqrt(5xx2)/4#

#" "=sqrt(10)/4#