Question

Simplify (square root of 2)(cube root of 2)

Answer 1

Explanation

2(5/6)

Answer 2

`√(2) \sqrt[3]{2} =`


`= 2^{(1)/(2)} * 2^{(1)/(3)}`


`= 2^{(1)/(2) + (1)/(3)}`


`= 2^{(3)/(6) + (2)/(6)}`


`= 2^{(5)/(6)}`


`= \sqrt[6]{2^5}`