1) x¡Ô2x + 2¡Ô2x^3 + 2x^2/¡Ô2x

Ans 4x¡Ô2x

2) (1/2)^1/3
Ans 3¡Ô1/2 = 3¡Ô4 /2

3) ¡Ô2/3
Ans ¡Ô6/3

4) 3¡Ô2/3
Ans 3¡Ô18/3

5) ¡Ô2 + 1/¡Ô2
Ans 3¡Ô2/2

Please help I really don't know how to simplify.

x√2x + 2√2x^3 + 2x^2/√2x

= x√2x + 2x√2x + x√2x
= 4x√2x

2√(2x^3) = √((2x)(x^2)) = 2x√(2x)

(2x^2)/√(2x) = = x√(2x)√(2x)/√(2x) = x√2x

√(2/3) = √2/√3 = √2/√3 * √3/√3 = (√2√3)/(√3√3) = (√6)/3

√2 + 1/√2
= √2 + 1/√2 * √2/√2 = √2 + (√2)/2 = (2√2+√2)/2 = 3√2/2