svp aider moi[tex] \sqrt{2 + \sqrt{3} } [/tex][tex] \sqrt{4 + 3 \sqrt{2} } [/tex].... Pergunta de ideia dechadibel

chadibel @chadibel

April 2021 1 93 Report

svp aider moi
[tex] \sqrt{2 + \sqrt{3} } [/tex]
[tex] \sqrt{4 + 3 \sqrt{2} } [/tex]

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stellaphilippe2

Explications étape par étape :

$\sqrt{A+-\sqrt{B} }$ = $\sqrt{A+\sqrt{(A^{2}-B)/2 } }$ + - $\sqrt{A-\sqrt{(A^{2}-B)/2 } }$

$\sqrt{2+\sqrt{3} }$ = $\sqrt{(2+\sqrt{2^{2}-3 )/2} }$ + $\sqrt{(2-\sqrt{2^{2}-3)/2 } }$

⇔ $\sqrt{(2+1)/2}$ + $\sqrt{(2-1)/2}$

⇔ √3/2 + √1/2

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