simplify each expression. rationalize all denominators. assume that all variables are positive

Question

(1-sqrt(3x))/(sqrt(6x))

Please show work!!!!

Answer 1

(1 - √(3x)/√(6x)
= (1 - √(3x)/√(6x) * √(6x)/√(6x)
= (√(6x) - (√18)x)/(6x)
= ( √(6x) - 3√2 x)/(6x)