How do you simplify #sqrt(1/5 )#?

1 Answer
Mar 21, 2018

Answer:

final answer will be: #(sqrt(5))/5#

Explanation:

#sqrt(1/5)# = #(sqrt(1))/(sqrt(5))#

*#sqrt(1)#=#1#

#(sqrt(1))/(sqrt(5))# = #1/(sqrt(5))#

*can't have radical in denominator so multiply to get rid of it

#(1/(sqrt(5)))*((sqrt(5))/(sqrt(5)))#

= #(sqrt(5))/(sqrt(5))^2#

= #(sqrt(5))/5#

^final answer