How do you simplify 6/sqrt20?

1 Answer
Jan 29, 2016

6/sqrt(5)=3/5sqrt(5)

Explanation:

6/sqrt(20)
color(white)("XXX")=6/sqrt(2^2xx5)

color(white)("XXX")=6/2sqrt(5)

color(white)("XXX")=3/sqrt(5)

Often when asked to simplify a fraction containing a radical, we are expected to clear the radical from the denominator;
so...
color(white)("XXX")=3/sqrt(5) xx sqrt(5)/sqrt(5)

color(white)("XXX")=(3sqrt(5))/5