How do you simplify #sqrt5/sqrt32#?

1 Answer
Feb 10, 2017

Answer:

#sqrt(5)/sqrt(32)=color(green)(sqrt(10)/8)#

Explanation:

#sqrt(5)/(sqrt(32)#
#color(white)("XXX")=sqrt(5)/(sqrt(16) * sqrt(2)#

#color(white)("XXX")=sqrt(5)/(4sqrt(2))#

#color(white)("XXX")=sqrt(5)/(4sqrt(2)) xx sqrt(2)/sqrt(2)#

#color(white)("XXX")=(sqrt(5) * sqrt(2))/(4 * sqrt(2) * sqrt(2))#

#color(white)("XXX")=sqrt(10)/(4 * 2)#

#color(white)("XXX")=sqrt(10)/8#