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sphiter
@sphiter
January 2021
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Bonjour, je suis en seconde et je ne comprend pas comment simplifier ceci (avec la calculette, j'ai déterminé que cela valait √2-1) :
√2+1
( --------- )
3-2√2
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JEAN767
Verified answer
√2+1 \
3-2√2
= (
√2+1) (3+2√2) \ 3² -(2√2)²
= 3√2 + 4 + 3 +2√2 \ 9 - 8
=
3√2 + 4 + 3 +2√2
=5√2 + 7
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sphiter
mais cela ne fait √2-1 :o
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Verified answer
√2+1 \ 3-2√2= (√2+1) (3+2√2) \ 3² -(2√2)²
= 3√2 + 4 + 3 +2√2 \ 9 - 8
= 3√2 + 4 + 3 +2√2
=5√2 + 7