Rationalize the denominator and write your answer in lowest terms

Question

(2 √ 6 + √ 3)/ ( √ 6- √ 3)

Answer 1

multiply top and bottom by √6 + √3

(2 √ 6 + √ 3)/ ( √ 6- √ 3) * (√6 + √3)/(√6 + √3)
= ( 12 + 3√18 + 3)/(6-3)
= (15 + 9√3)/3
= 5 + 3√2

Answer 2

5+3√2