squareroot of 8 * exponents 3

Answer 1

If you mean √8^3 that's just
√8*√8*√8 = √512 = √(256*2) = √256*√2 = 16√2
or,
(2√2)^3 = 2^3*√2^3 = 8*2√2 = 16√2

Answer 2

sqrt ( 8 ) ^ 3 = sqrt ( 8 ) * sqrt ( 8 ) * sqrt ( 8 ) =

sqrt ( 8 ) ^ 2 * sqrt ( 8 ) = 8 * sqrt ( 8 ) = 8 * sqrt ( 4 * 2 ) =

8 * sqrt ( 4 ) * sqrt ( 2 ) = 8 * 2 * sqrt ( 2 ) = 16 * sqrt ( 2 )