Question

Raționalizati numitorii:
$\frac{ \sqrt[]7{} }{4 \sqrt[]{3} }$


$\frac{3}{2\sqrt[]{5} }$


$\frac{ \sqrt[]{7} }{ \sqrt[]{3} }$

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Answer 1

 

Amplificam fiecare fractie cu radicalul de la numitor.

Rezolvare:

$\displaystyle\bf\\\frac{\sqrt{7}}{4\sqrt{3}}=\frac{\sqrt{7}\times\sqrt{3}}{4\sqrt{3}\times\sqrt{3}} =\frac{\sqrt{7\times3}}{4\sqrt{3\times3}}=\frac{\sqrt{21}}{4\sqrt{9}}=\frac{\sqrt{21}}{4\times3}=\frac{\sqrt{21}}{12}\\\\\\\frac{3}{2\sqrt{5}}=\frac{3\sqrt{5}}{2\sqrt{5}\times\sqrt{5}}=\frac{3\sqrt{5}}{2\sqrt{5\times5}}=\frac{3\sqrt{5}}{2\sqrt{25}}=\frac{3\sqrt{5}}{2\times5}=\frac{3\sqrt{5}}{10}\\\\\\\frac{\sqrt{7}}{\sqrt{3}}=\frac{\sqrt{7}\times\sqrt{3}}{\sqrt{3}\times\sqrt{3}} =\frac{\sqrt{21}}{3}$