Question #dbcf5

1 Answer
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