Rationalize 1 / 3 - √(6) ​

Question

Rationalize

`1 / 3 - √(6)`
​

Answer 1

(1 - 3√6)/3

Explanation:

1:3 - √6 =

= 1/3 - ³⁾√6

= (1 - 3√6)/3

Answer 2

Explanation:

`(1)/(3-√(6))=(1*(3+√(6)))/((3-√(6))(3+√(6)))) \\\\=(3+√(6))/((3)^(2)-(√(6))^(2))\\\\=(3+√(6))/(9-6)\\\\=(3+√(6))/(3)`