Question

How do you rationalize `sqrt(5/8)`?

Answer 1

Write it as: `sqrt(5)/sqrt(8)`
then multiply and divide by `sqrt(8)` to get:
`sqrt(5)/sqrt(8)*sqrt(8)/sqrt(8)=(sqrt(5)sqrt(8))/8=`
`=(sqrt(5)sqrt(4*2))/8=2(sqrt(5)sqrt(2))/8=(sqrt(5)sqrt(2))/4=sqrt(10)/4`