Question

Simplify the square root of 2 times the cube root of 2.

two to the one sixth power
two to the two thirds power
two to the five sixths power
two to the seven sixths power

Answer 1

two to the five sixths power

Answer 2

two to the five sixths power

Explanation:

`√(2) *\sqrt[3]{2} =2^{(1)/(2) }*2^{(1)/(3) } = 2^{(1)/(2) +(1)/(3)}=\\=2^{(5)/(6) }`