naomierousseau72 naomierousseau72
  • 06-01-2024
  • Mathematics
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écrire les quotients suivants avec un dénominateur entier : a) 2/√3 b)7/2√5 c)√3/4√2 d)3√3/√8

écrire les quotients suivants avec un dénominateur entier a 23 b725 c342 d338 class=

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ThatOnePianist ThatOnePianist
  • 06-01-2024

a) [tex]\dfrac{2}{\sqrt3}=\dfrac{2\sqrt3}{\sqrt3\times\sqrt3}=\dfrac{2\sqrt3}{3}[/tex]

b) [tex]\dfrac{7}{2\sqrt5}=\dfrac{7\sqrt5}{2\sqrt5\times\sqrt5}=\dfrac{7\sqrt5}{10}[/tex]

c) [tex]\dfrac{\sqrt3}{4\sqrt2}=\dfrac{\sqrt3\times\sqrt2}{4\sqrt2\times\sqrt2}=\dfrac{\sqrt6}{8}[/tex]

d) [tex]\dfrac{3\sqrt3}{\sqrt8}=\dfrac{3\sqrt3\times\sqrt8}{\sqrt8\times\sqrt8}=\dfrac{3\sqrt{24}}{8}=\dfrac{3\sqrt{2^2\times6}}{8}=\dfrac{6\sqrt6}{8}=\dfrac{3\sqrt6}{4}[/tex]

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