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

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Answer 1 · 2018-03-21T21:10:52

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

#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