Rationalize the denominator and simplify your result completely

Question

a) 9/√3𝑥

b. 2/3−√5

Answer 1

a) I assume √3x = √(3x), both 3 and x under the radical. Multiply top and bottom by √(3x) and simplify; I get 3 √(3x) / x.

b) I assume you meant 2 / (3 - √5), otherwise the expression can't be simplified! Multiply top and bottom by the conjugate (3 + √5), the denominator becomes 9 - 5, and the boiled down result should be (3 + √5) / 2.