Question

Simplify square root of 5 multiplied by the cube root of 5

5 to the power of 5 over 6

5 to the power of 1 over 6

5 to the power of 2 over 3

5 to the power of 7 over 6

Answer 1

Simplified form of square root of 5 multiplied by the cube root of 5 is:

5 to the power of 5 over 6

Explanation:

square root of 5 multiplied by the cube root of 5

=
`√(5)* \sqrt[3]{5}`

=
`5^(1/2)* 5^(1/3)`

=
`5^{(1)/(2)+(1)/(3)}`

=
`5^(5/6)`

Hence, simplified form of square root of 5 multiplied by the cube root of 5 is:

5 to the power of 5 over 6

Answer 2

For the answer to the question above, asking to simplify square root of 5 multiplied by the cube root of 5.

the square root of 5 is 5^(1/2)
the cube root of 5 is 5^(1/3)
so square root of five times cube root of five = 5^(1/2) * 5^(1/3) = 5^(1/2+1/3)=5^(5/6)

I hope my answer helped you.