simplify the rational expression by rationalizing the denominator.
√20/√27x
√20/√27x
First, simplify the square roots in the expression:
√20 = √(4 * 5) = 2√5
√27 = √(9 * 3) = 3√3
Therefore, the expression becomes:
2√5 / 3√3x
To rationalize the denominator, multiply the expression by √3/√3:
(2√5 * √3) / (3√3x * √3)
= 2√15 / 9x
Therefore, the simplified expression after rationalizing the denominator is:
2√15 / 9x