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2013-11-06 18:31:54 +0200 asked a question equation sqrt

I tried to solve with sage $$4=x+\sqrt{(x+1)(x+2)}+\sqrt{(x+2)(x+3)}+\sqrt{(x+3)(x+1)}$$ but it does work. Could you help me what shoud I enter in sage to get exact solution ? thank you