Bonsoir
√2³ = √2² * √2 = 2√2
(1/√2)⁵ = 1⁵/√2⁵ = 1/√2²*√2²*√2 = 1/2*2*√2 = 1/4√2
Donc
√2³ * (1/√2)⁵ *√2
= 2√2 * 1/4√2 * √2
= 2√2*√2 * 1/4√2
= 2*√2² * 1/4√2
= 2*2 * 1/4√2
= 4*1/4√2
= 1/√2
Bonne soirée
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Bonsoir
√2³ = √2² * √2 = 2√2
(1/√2)⁵ = 1⁵/√2⁵ = 1/√2²*√2²*√2 = 1/2*2*√2 = 1/4√2
Donc
√2³ * (1/√2)⁵ *√2
= 2√2 * 1/4√2 * √2
= 2√2*√2 * 1/4√2
= 2*√2² * 1/4√2
= 2*2 * 1/4√2
= 4*1/4√2
= 1/√2
Bonne soirée