Rationalize the denominator in the following expression
^3sqrt2/^3sqrt3
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator.
The conjugate of ^3√3 is ^3√3.
Therefore, we multiply the numerator and denominator by ^3√3:
(^3√2/^3√3) * (^3√3/^3√3) = ^3√(2*3) / (^3√(3*3))
Simplifying the numerator and denominator:
^3√(2*3) = ^3√6
^3√(3*3) = ^3√9
The rationalized expression is:
^3√6/^3√9