Réponse:

EXERCICE 60

a) 3√27= 3×√9×√3= 9√3

b)-√8= -√4×√2= -2√2

c)5√12= 5√4×√3 = 10√3

d)-3√98= -3√49×√2= -21√2

EXERCICE 61

a) √15 ×√20= √300 = √100×√3 = 10√3

b)√24×√2 = √4×√3×√4 = 4√3

c)√8 ×√56= √4×√2×√4×√2×√7= 2×2×2×√7= 8√7

EXERCICE 62

a)

[tex]\sqrt{ \frac{5}{16} } = \frac{ \sqrt{5} }{4}[/tex]

b)

[tex] \sqrt{ \frac{24}{2} } = \sqrt{12} = \sqrt{4} \times \sqrt{3} = 2 \sqrt{3} [/tex]

c)

[tex] \frac{ \sqrt{2} }{ \sqrt{9} } = \frac{ \sqrt{2} }{3} [/tex]

d)

[tex] \frac{ \sqrt{15} }{ \sqrt{20} } = \sqrt{ \frac{15}{20} } = \sqrt{ \frac{3}{4} } = \frac{ \sqrt{3} }{2} [/tex]