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Sagot :

a) racine(9) = 3
     racine(100) = 10
     racine(16/25) = 4/5 = 0.8
     racine(-16) n'existe pas

 

b) racine(5) = 2.24
    racine(27) = 5.20
    racine(56) = 7.45
    racine(85) = 9.22

 

c) racine(25) < racine(27) < racine(36)
                     5 < racine(27) < 6

 

    racine(49) < racine(50) < racine(64)
                     7 < racine(50) < 8

 

    racine(121) < racine(125) < racine(144)
                   11 < racine(125) < 12

 

    racine(16) < racine(20) < racine(25)
                   4 < racine(20) < 5
                  -5 < - racine(20) < -4

[tex]\sqrt9=3 \\\sqrt{100}=10 \\\sqrt\frac{16}{25}=\frac{4}{5} \\\sqrt{-16}=impossible \\\\\sqrt5\approx2.24 \\\sqrt{27}\approx5.20 \\\sqrt{56}\approx7.48 \\\sqrt{85}\approx9.22 \\\\6<\sqrt{37}<7 \\\sqrt{25}<\sqrt{27}<\sqrt{36} <=> 5<\sqrt{27}<6 \\\sqrt{49}<\sqrt{50}<\sqrt{64} <=> 7<\sqrt{50}<8 \\\sqrt{121}<\sqrt{125}<\sqrt{144} <=> 11<\sqrt{125}<12 \\-\sqrt{25}<-\sqrt{20}<-\sqrt{16} <=> -5<-\sqrt{20}<-4[/tex]

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