Question

Rewrite the expression using rational exponent notation.$3\sqrt{12}$

Answer 1

we have the expression

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

The answer is

$3^{(\frac{3}{2})}\cdot2$