3 задачи

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Извършете действията
a) [tex]\frac{1}{\sqrt[]{3} } +\frac{2}{\sqrt[]{5} }[/tex]

b) [tex]\frac{1}{\sqrt{3} -\sqrt{2} } +\frac{2}{ \sqrt{5}-2 }[/tex]

v) [tex]\frac{\sqrt{5} }{\sqrt{2} } -\frac{\sqrt{2} }{\sqrt{5}-\sqrt{3} }[/tex]

[Xixibg]

[tex]a).\frac{1}{\sqrt{3}}+\frac{2}{\sqrt{5}}=[/tex]

[tex]\frac{5\sqrt{3}}{5\sqrt{3}\sqrt{3}}+\frac{2.3\sqrt{5}}{3\sqrt{5}\sqrt{5}}=[/tex]

[tex]\frac{5\sqrt{3}+6\sqrt{5}}{15}[/tex]

[tex]b).\frac{1}{\sqrt{3}-\sqrt{2}}+\frac{2}{\sqrt{5}-2}[/tex]

[tex]\frac{\sqrt{3}+\sqrt{2}}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}+\frac{2(\sqrt{5}+2)}{(\sqrt{5}-2)(\sqrt{5}+2)}=[/tex]

[tex]\sqrt{3}+\sqrt{2}+2(\sqrt{5}+2)[/tex]

[tex]v). \frac{\sqrt{5}}{\sqrt{2}}-\frac{\sqrt{2}}{\sqrt{5}-\sqrt{3}}[/tex]

[tex]\frac{\sqrt{5}\sqrt{2}}{\sqrt{2}\sqrt{2}}-\frac{\sqrt{2}(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})}[/tex]

[tex]\frac{\sqrt{5}\sqrt{2}}{2}-\frac{\sqrt{2}(\sqrt{5}+\sqrt{3})}{2}[/tex]

[tex]\frac{-\sqrt{6}}{2}[/tex]

[cwetinkaa]

Благодаря!

[cwetinkaa]

Може ли да мои решите и този пример;
[tex]\frac{\sqrt{18} +\sqrt{50}-\sqrt{8} }{3\sqrt{2} }[/tex]

Благодаря ви предварително!

[Consigliere-]

( √18 + √50 - √8 ) / 3√2 =( √9√2 + √25√2 - √4√2 ) / 3√2 =
=( 3√2 + 5√2 - 2√2 )/3√2 = 6√2/3√2 = 2

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Благодаряя!