Question

Simplify 4sqrt6/ sqrt30 by rationalizing the denominator.

Need help can someone show me steps on how to do this

Answer 1

multiply by sqrt30/sqrt30
you now have 4sqrt6*sqrt30/30
but sqrt 30=sqrt(5*6)=sqrt5*sqrt6
now you have 4sqrt6*sqrt6*sqrt5/30=24*sqrt5/30=.8 sqrt5