MCQ
$\sqrt[5]{6}\times\sqrt[5]{6}$ is equal to:
- ✓$\sqrt[5]{36}$
- B$\sqrt[5]{6\times0}$
- C$\sqrt[5]{6}$
- D$\sqrt[5]{12}$
✓
Answer
Correct option: A.
$\sqrt[5]{36}$
$\sqrt[5]{6}=(6)^{\frac{1}{5}}$
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 $(a)$.
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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