Simplify the radical. Assume that all variables represent positive real numbers.
-$\sqrt[4]{48^{2}}$
A) $4 \sqrt{3}$
B) 48
C) $16 \sqrt{3}$
D) $4+\sqrt{3}$

Question

Quizplus · Accepted Answer

$\sqrt[4]{48^{2}}$ simplifies to $\sqrt[4]{(16*3)^{2}} = \sqrt[4]{16^{2} * 3^{2}} = \sqrt[4]{256 * 9}$. Since $\sqrt[4]{256} = 4$ and $\sqrt[4]{9} = \sqrt{3}$, the expression simplifies to $4\sqrt{3}$.

Simplify the Radical 4824\sqrt[4]{48^{2}}4482​ A) 434 \sqrt{3}43​ B) 48 C) 16316 \sqrt{3}163​ D) 4+34+\sqrt{3}4+3​

Simplify the Radical $\sqrt[4]{48^{2}}$ A) $4 \sqrt{3}$ B) 48
C) $16 \sqrt{3}$ D) $4+\sqrt{3}$