Question #dbcf5

1 Answer
Alan P.
Mar 29, 2017

#root(3)(2) * root(6)(6) = color(green)(root(6)(24))#

Explanation:

#root(3)(2) = root(6)(2^2)#

Therefore
#color(white)("XXX")root(3)(2) * root(6)(6) = root(6)(4) * root(6)(6) = root(6)(24)#

Note that #root(6)(24)# has no rational equivalent but is approximately equal to #1.69838#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
932 views around the world
You can reuse this answer
Creative Commons License