Question

Write the given surd $\sqrt[3]{3\frac{189}{25}}$ in its simplest form.

Answer 1

Resolving $\sqrt[3]{3\frac{189}{25}}$, we get,

$\Rightarrow \sqrt[3]{3\frac{189}{25}}=\sqrt[3]{3\frac{(3^3\times 7)}{5\times 5}}$.

Taking the square root of common factors we get,

$\sqrt[3]{3\frac{189}{25}}=3\sqrt[3]{3\frac{7}{25}}$, which is the simplest form.