How do you rationalize the denominator and simplify ##sqrt35 /sqrt55##?

| May 27, 2018

You can rationalize a radical denominator by multiplying the radical by itself.
e.g. ##sqrt8## x ##sqrt8## = 8
##sqrt3## x ##sqrt3## = 3
##sqrt5##x##sqrt5##=5
However, by multiplying the radical denominator by a number, you have to do the same for the numerator.
##sqrt35/sqrt55## x ##sqrt55/sqrt55##= (##sqrt7##x##sqrt5##x##sqrt5##x##sqrt11)####/55## = ##(5sqrt77)/55##=##(sqrt77)/11##

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