Question

Divide: $25\sqrt[4]{433}$ by $5\sqrt[4]{411}$.

• A. $5\sqrt[3]{33}$
• B. $5\sqrt[4]{45}$
• C. $5\sqrt[4]{43}$
• D. $3\sqrt[4]{43}$

Answer 1

Answer: (C)

$5\sqrt[4]{43}$

Consider$\frac{25\sqrt[4]{411}\times \sqrt[4]{43}}{5\sqrt[4]{411}}$ and solve as follows:

$\frac{25\sqrt[4]{411}\times \sqrt[4]{43}}{5\sqrt[4]{411}}=\frac{(5\times 5)\sqrt[4]{411}\times \sqrt[4]{43}}{5\sqrt[4]{411}}=\frac{5\times \sqrt[4]{43}}{1}=5\sqrt[4]{43}$ .

Hence, $\frac{25\sqrt[4]{411}\times \sqrt[4]{43}}{5\sqrt[4]{411}}=5\sqrt[4]{43}$.

Therefore, option $C$ is correct.