What is #sqrt(1/90)#?

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Answer 1 · 2015-12-15T07:21:33

#(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)#