How can you write the expression with a rationalized denominator?

^3sqrt2/^3sqrt6

Reponses
^3sqrt9/3
2+^3sqrt9/6
^3sqrt9/6
^3sqrt72/3

3 answers

To rationalize the denominator of the expression ^3sqrt(2)/^3sqrt(6), you can multiply both the numerator and the denominator by ^3sqrt(3) to get:

(^3sqrt(2) * ^3sqrt(3)) / (^3sqrt(6) * ^3sqrt(3))

This simplifies to:

^3sqrt(6) / 3

Therefore, the expression with a rationalized denominator is ^3sqrt(6) / 3.
I dont think that is correct
Apologies for the confusion. Let's correct that.

To rationalize the denominator of ^3sqrt(2) / ^3sqrt(6), we need to multiply the numerator and the denominator by ^3sqrt(6) to get:

(^3sqrt(2) * ^3sqrt(6)) / (^3sqrt(6) * ^3sqrt(6))
(^3sqrt(12)) / 6

This simplifies to:

^3sqrt(12) / 6

Therefore, the expression with a rationalized denominator is ^3sqrt(12) / 6.