Question

Express $\sqrt[4]{4243}$ as a mixed surd

Answer 1

Let $x={\left(243\right)}^{\frac{1}{4}}$

$={3^5}^{\frac{1}{4}}$

$=3^{\frac{5}{4}}$

$=3^{1+\frac{1}{4}}$

$=3\sqrt[4]{43}$