Question

Rewrite the irrational cube root 189−−−√3 as the product of an integer and another irrational cube root in 1-2 sentences.

Answer 1

The irrational cube root \( \sqrt[3]{189} \) can be expressed as the product of an integer and another irrational cube root:

\[
\sqrt[3]{189} = \sqrt[3]{27 \times 7} = \sqrt[3]{27} \cdot \sqrt[3]{7} = 3\sqrt[3]{7}.
\]