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

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

Answered by MJS last updated on 15/Sep/18

$$\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\sqrt[n]{a\times b}=\sqrt[n]{a}\times \sqrt[n]{b}$$$$\sqrt[n]{c^n}=c$$$$\mathrm{there}\mathrm{are}\mathrm{some}\mathrm{exceptions}\mathrm{but}\mathrm{at}\mathrm{this}\mathrm{level}$$$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{good}\mathrm{to}\mathrm{remember}\mathrm{these}$$$$$$$$\sqrt[3]{\frac{81}{125}}=\frac{\sqrt[3]{81}}{\sqrt[3]{125}}=\frac{\sqrt[3]{3\times 3\times 3\times 3}}{\sqrt[3]{5\times 5\times 5}}=\frac{\sqrt[3]{3^3\times 3}}{\sqrt[3]{5^3}}=$$$$=\frac{\sqrt[3]{3^3}\times \sqrt[3]{3}}{5}=\frac{3}{5}\sqrt[3]{3}$$

Commented by Junaid555 last updated on 15/Sep/18

$$Thankyouverymuch$$

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