Simplify square root of 2 multiplied by the cube root of 2. A 2 to the power of 1 over 6 B 2 to the power of 2 over 3 C2 to the power of 5 over 6 D2 to the power of 7 over 6

Square-root of two multiplied by the cube-root of 2

=sqrt (2) * (2) ^ (1/3)

=2^ (1/2) * 2^ (1/3)

=2^ (1/2+1/3) multiplication rule of exponents

=2^ ((3+2) / 6)

=2^ (5/6)

= (2^5) ^ (1/6) ... sixth root of 2^5

= (32) ^ (1/6) ... sixth root of 32.