What is ##sqrt(1/90)##?

##(sqrt 1)/(sqrt90)=(sqrt 10)/(30)##

Simplify.

##(sqrt 1)/(sqrt90)##

Simplify ##sqrt 1## to ##1##.

##1/(sqrt90)##

Factor ##sqrt 90##.

##1/(sqrt (3xx3xx2xx5))##

Simplify.

##1/(sqrt(3^2xx2xx5))##

Apply square root rule ##sqrt( a^2)=a##.

##1/(3sqrt(2xx5))##

Simplify.

##1/(3sqrt 10)##

Rationalize the denominator.

##1/(3sqrt 10)xx(sqrt10)/(sqrt 10)##

##(sqrt 10)/(3sqrt 10sqrt 10)##

Apply square root rule ##sqrtasqrta=a##.

##(sqrt 10)/(3xx10)##

Simplify.

##(sqrt 10)/(30)##