How do you rationalize $(4sqrt6)/(sqrt30)$ ?

Question

1695 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-25T22:43:22

First note that $sqrt(30) = sqrt(5*6) = sqrt(5)*sqrt(6)$

So $(4sqrt(6))/sqrt(30) = (4sqrt(6))/(sqrt(5)sqrt(6)) = 4/sqrt(5)$

Then rationalize the denominator by multiplying both numerator and denominator by $sqrt(5)$

$4/sqrt(5) = (4sqrt(5))/(sqrt(5)sqrt(5)) = (4sqrt(5))/5$

How do you rationalize (4sqrt6)/(sqrt30)(4sqrt6)/(sqrt30)?