Bonjour,
Ex 1
√8×√2
=√(8×2)
=√16
=√4
√3×√27
=√(3×27)
=√81
=9
(5√2)²
=5²×√2²
=25×2
=50
√34/√4
=√(17×2)/2
=(√17×√2)/2
=√17/√2
√112/√28
=√(7×16)/√(7×4)
=4√7/2√7
=4/2
=2
(√7 +3)²
=√7²+2×3×√7+3²
=7+9+6√7
=16+6√7
(3√7 +4)(3√(7-4))
=(3√7 +4)(3√3)
=3√3 × 3√7+4×3√3
=9√21 + 12√3
3/5+√5×(√5/10)
=3/5+1/10
=(6+1)/10
=7/10
√3/2(1/√3 -2√3)
=(√3/2)×(1/√3)-(√3/2)×(2√3)
=1/2-3
=(1-6)/2
= -5/2
