Oblicz [tex]\frac{8}{\sqrt{2} } +\frac{\sqrt{2} }{5}[/tex].... Question from @klaudiaz14

April 2022 2 21 Report

Oblicz

[tex]\frac{8}{\sqrt{2} } +\frac{\sqrt{2} }{5}[/tex]

Cześć!

$\frac{8}{\sqrt{2}}+\frac{\sqrt{2}}{5} = \frac{8\sqrt2}{2} + \frac{\sqrt2}{5} = \frac{8\sqrt2 \cdot 5}{2 \cdot 5} + \frac{\sqrt2 \cdot 2}{5 \cdot 2} = \frac{40\sqrt2 + 2\sqrt2}{10} = \frac{42\sqrt2}{10} = 4,2\sqrt2$

Pozdrawiam!

4 votes Thanks 5

basetla

$\frac{8}{\sqrt{2}}+\frac{\sqrt{2}}{5} = \frac{8}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}} + \frac{\sqrt{2}}{5} = \frac{8\sqrt{2}}{2}+\frac{\sqrt{2}}{5} = 4\sqrt{2} +\frac{1}{5}\sqrt{2} = 4\frac{1}{5}\sqrt{2} = 4,2\sqrt{2}$

4 votes Thanks 3

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