x>0 et y>0 démonter que √x+√y .... Pergunta de ideia deMohamed120

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x>0 et y>0
démonter que √x+√y <√(2*(x+y))

rachidSM2000 (√x-√y)^2>0
x+y-2√(xy)>0
x+y>2√(xy)
2x+2y>2√(xy)+x+y
2(x+y)>(√x+√y)^2
√(2(x+y))>√x+√y

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