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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers2 Marks
Question
Simplify : $\sqrt[5]{16} \times \sqrt[5]{2}$
✓

Answer

$ \sqrt[5]{16} \times \sqrt[5]{2}$
$ =16^{\frac{1}{5}} \times 2^{\frac{1}{5}}$
$ =2^{4 \times \frac{1}{5}} \times 2^{\frac{1}{5}}$
$ =2^{\frac{4}{5}} \times 2^{\frac{1}{5}}$
$ =2^{\frac{5}{5}}$
$ =2^1$
$ =2$

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