Simplify square root equation??? Help Please. 10 Points rewarded

Simplify
Sqroot(32) 2 Sqrot(3)
___ + ___
2 3

√32 / 2 + 2√3 / 3

= (3√32 + 4√3)/6

= (3√16*√2 + 4√3)/6

= (12√2 + 4√3)/6

= 2(6√2 + 2√3)/6

= (6√2 + 2√3)/3

= 2√2 + 2√3/3

= 2(√2 + √3/3)

Cheers !!!

I agree with Damon, multiply by the least common factor to rationalize the fraction and roots efficiently, break the roots up into digits you can easily simplify then remember not to add the roots together. the math was already provided.

√32/2 + 2√3/3

Multiply everything by 6

3√32 + 12√3
3√(16*2) + 12√3
12√2 + 12√3

12(√2 + √3)