Question
$\sqrt[5]{6}\times\sqrt[5]{6}$ is equal to:
✓
Answer
- $\sqrt[5]{36}$
Solution:
$\sqrt[5]{6}=(6)^{\frac{1}{5}}$
So $\sqrt[5]{6}\times\sqrt[5]{6}=(6)^{\frac{1}{5}}\times(6)^{\frac{1}{5}}$
$=(6\times6)^{\frac{1}{5}}$
$(36)^{\frac{1}{5}}$
$=\sqrt[5]{36}$
Hence, correct option is (a).
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