Simplify3√2

√6 - √3

+

2 √3

√6 + 2

-

4√3

√6 - √2

5√3-7√2+2

Step-by-step explanation:

3√2√6-√3+2√3√6 + 2-4√3√6-√2

Bringing the like terms

3√2√6-2√3√6-√2-√3+2

Now we apply the rule which says

√a x√b = √ab

3√ (2x6) - 2√ (3*6) - √2-√3+2

3√ (2x2*3) - 2√ (3*3*2) - √2-√3+2

3*2√3-2*3√2-√2-√3+2

6√3-6√2-√2-√3+2

Bringing the like terms together

6√3-√3-6√2-√2+2

5√3-7√2+2