How do you rationalize the denominator and simplify #5/(root3(4))#?
2 Answers
Apr 19, 2017
Explanation:
Multiply the fraction by
Apr 19, 2017
Explanation:
Given:
#5/root(3)(4)#
First note that:
#root(3)(4) = (2^2)^(1/3) = 2^(2/3)#
So to make the denominator rational it will be sufficient to multiply it by
#5/root(3)(4) = (5root(3)(2))/(root(3)(4)root(3)(2))#
#color(white)(5/root(3)(4)) = (5root(3)(2))/root(3)(4*2)#
#color(white)(5/root(3)(4)) = (5root(3)(2))/root(3)(2^3)#
#color(white)(5/root(3)(4)) = (5root(3)(2))/2#