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Calculez \(\dfrac{\sqrt{20}-2\sqrt{10}-1}{\sqrt{5}}\).
\(2-\sqrt{5}\)
\(\dfrac{2}{\sqrt{5}}-\dfrac{2\sqrt{2}}{\sqrt{5}}-\dfrac{1}{5}\)
\(1-\dfrac{2\sqrt{3}}{\sqrt{5}}-\dfrac{1}{\sqrt{5}}\)
\(2-2\sqrt{2}-\dfrac{1}{\sqrt{5}}\)
L'opposé du carré du double de 0,4 est
\(0,64\)
\(-0,16\)
\(-0,64\)
\(-0,32\)
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(0\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
Simplifiez l'expression \(\displaystyle{ \left( \frac{7a^3bx^2}{18ax^3}\right) / \left(\frac{21a^2bx}{-4ab^2x^2} \right)}\).
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{2ab^2}{27}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Calculez \(\left(\dfrac{1}{a}+1\right)/(1-a^2)\).
\(\dfrac{1}{1-a}\)
\(\dfrac{(1-a)(1+a)^2}{a}\)
\(\dfrac{1}{a(1-a)}\)
\(\dfrac{2}{a(1-a^2)}\)
Calculez \(\left(\dfrac{4}{-15}-\dfrac{7}{-18}\right)-\left(\dfrac{1}{15}-\dfrac{1}{9}\right)\).
\(-\dfrac{1}{18}\)
\(\dfrac{1}{9}\)
\(\dfrac{1}{6}\)
Simplifiez l'expression \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Simplifiez l'expression \(\displaystyle{ \frac{(2a^2bx)(-3a^3b^2x^3)}{12a^5bx^2}}\).
\(-\dfrac{abx}{2}\)
\(-\dfrac{x^2}{3}\)
\(\dfrac{2-3abx^2}{12a^3x}\)
\(-\dfrac{b^2x^2}{2}\)
Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).
\(-\dfrac{13}{72}\)
\(-\dfrac{5}{3}\)
\(\dfrac{5}{18}\)
Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).
\(\sqrt[4]{a^3}\)
\(\sqrt[3]{a^4}\)
\(a^{39/10}\)
\(a^{5/96}\)