How can you write the expression with a rationalized denominator?
5- square root ^2/ square root ^3
To rationalize the denominator of the expression 5 - sqrt(2) / sqrt(3), you need to multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt(3).
Therefore, (5 - sqrt(2)) / sqrt(3) * sqrt(3) / sqrt(3)
= (5 * sqrt(3) - sqrt(2) * sqrt(3)) / 3
= (5sqrt(3) - sqrt(6)) / 3
So, the expression with a rationalized denominator is (5sqrt(3) - sqrt(6)) / 3.