Question

Rewrite the irrational cube root \sqrt (189) as the product of an integer and another irrational cube root. Show your work.

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can rewrite the irrational cube root as follows:

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

Therefore, the irrational cube root \sqrt[3]{189} can be expressed as the product of an integer (3) and another irrational cube root ( \sqrt[3]{7}).