Question

Simplify3√2

√6− √3

+

2 √3

√6+ 2

-

4√3

√6− √2​

Answer 1

5√3-7√2+2

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