How do you simplify #6/sqrt20#?

1 Answer
Jan 29, 2016

Answer:

#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#