plz-solve-it-for-me-i-am-learning-81-125-1-3-

Question Number 43789 by Junaid555 last updated on 15/Sep/18

p l z s o l v e i t f o r m e i a m l e a r n i n g

\sqrt[3]{\frac{81}{125}}

Answered by MJS last updated on 15/Sep/18

\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}} \sqrt[n]{a \times b} = \sqrt[n]{a} \times \sqrt[n]{b}

\sqrt[n]{c^{n}} = c

there are some exceptions but at this level

{it}^{'} s good to remember these

\sqrt[3]{\frac{81}{125}} = \frac{\sqrt[3]{81}}{\sqrt[3]{125}} = \frac{\sqrt[3]{3 \times 3 \times 3 \times 3}}{\sqrt[3]{5 \times 5 \times 5}} = \frac{\sqrt[3]{3^{3} \times 3}}{\sqrt[3]{5^{3}}} =

= \frac{\sqrt[3]{3^{3}} \times \sqrt[3]{3}}{5} = \frac{3}{5} \sqrt[3]{3}

Commented by Junaid555 last updated on 15/Sep/18

T h a n k y o u v e r y m u c h