4/ pierwiastek z 8 usowanie niewymiernosci



Odpowiedź :

[tex] \frac{4}{ \sqrt{8} } = \frac{4 \sqrt{8} }{8} = \frac{4 \sqrt{4 \times 2} }{8} = \frac{8 \sqrt{2} }{8} = \sqrt{2} [/tex]

Myślę że pomogłem ;)

[tex]\frac{4}{\sqrt{8}}=\frac{4}{\sqrt{4\cdot2}} = \frac{4}{2\sqrt{2}} \cdot\frac{\sqrt{2}}{\sqrt{2}} = \frac{4\sqrt{2}}{2\cdot2} = \frac{4\sqrt{2}}{4} = \sqrt{2}[/tex]

[tex]lub\\\\\frac{4}{\sqrt{8}} = \frac{4\cdot\sqrt{8}}{\sqrt{8}\cdot\sqrt{8}}= \frac{4\sqrt{8}}{8} = \frac{4\sqrt{4\cdot2}}{8} = \frac{4\cdot2\sqrt{2}}{8} = \sqrt{2}[/tex]