Simplify the rational expression by rationalizing the denominator. (1 point) Responses Image with alt text: start fraction start root 30 x end root over 2x end fraction Image with alt text: start fraction start root 10 x end root over 2x end fraction Image with alt text: start fraction start root 15 x end root over x end fraction

1 answer

To simplify the given rational expression by rationalizing the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator.

The given expression is:
15xx

To rationalize the denominator, we multiply the numerator and the denominator by the conjugate of x, which is x:
15xx×xx
=15xxxx
=15x2xx
=15x2xx
=x15xx

Therefore, the simplified rational expression after rationalizing the denominator is x15xx.