Rewrite the expression using rational exponent notation.3√(12)

Question

Rewrite the expression using rational exponent notation.
`3√(12)`

Answer 1

we have the expression

`3\sqrt[]{12}=\sqrt[]{3^2\cdot12}=\sqrt[]{3^2\cdot2^2\cdot3}=\sqrt[]{3^3\cdot2^2}=3^{((3)/(2))}\cdot2^{((2)/(2))}=3^{((3)/(2))}\cdot2`

The answer is

`3^{((3)/(2))}\cdot2`