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Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).
\(\sqrt[4]{a^3}\)
\(\sqrt[3]{a^4}\)
\(a^{39/10}\)
\(a^{5/96}\)
Simplifiez l'expression \(\dfrac{\sqrt[3]{5}}{\sqrt{5a}}\cdot\dfrac{a\sqrt{30}}{\sqrt[3]{60a^2}}\).
\(\dfrac{\sqrt[6]{6}}{\sqrt[6]{a}\sqrt[3]{2}}\)
\(\dfrac{1}{\sqrt[5]{a^2}\sqrt[3]{2}}\)
\(\sqrt[3]{2a}\)
impossible
Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).
\(-\dfrac{13}{72}\)
\(0\)
\(-\dfrac{5}{3}\)
\(\dfrac{5}{18}\)
Calculez \(\dfrac{\sqrt{20}-2\sqrt{10}-1}{\sqrt{5}}\).
\(2-\sqrt{5}\)
\(\dfrac{2}{\sqrt{5}}-\dfrac{2\sqrt{2}}{\sqrt{5}}-\dfrac{1}{5}\)
\(1-\dfrac{2\sqrt{3}}{\sqrt{5}}-\dfrac{1}{\sqrt{5}}\)
\(2-2\sqrt{2}-\dfrac{1}{\sqrt{5}}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).
\(\dfrac{9}{2}\)
\(-\dfrac{4}{3}\)
\(0,03\)
\(-5\)
Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).
\(\dfrac{29}{2}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{12}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{2}\)
\(\dfrac{\sqrt{21}+\sqrt{19}+\sqrt{22}+\sqrt{20}}{2}\)
Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).
\(\sqrt[5]{2}\sqrt[3]{a^2}\)
\(\sqrt[3]{\frac{a^2}{2}}\)
\(\sqrt[6]{2}\sqrt[3]{a^2}\)
\(\sqrt{2}a\)
Calculez \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
Calculez \(3\left(\dfrac{2}{3}\left(\dfrac{3}{4}-\dfrac{1}{8}\right)-1\right)+\dfrac{5}{6}\).
\(\dfrac{29}{24}\)
\(\dfrac{1}{12}\)
\(-\dfrac{11}{12}\)
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)