化简

化简复合二次根式根号(16+2(

根号[16+2(1+根号5)*(1+2*根号3)] =根号[16+2(1+根号5)*(1+2*根号3)+(1+根号5)^2+(1+2根号3)^2-(1+根号5)^2-(1+2根号3)^2] =根号[16+(1+根号5+1+2根号3)^2-(1+根号5)^2-(1+2根号3)^2] =根号[16+(2+根号5+2根号3)^2-(6+2根号5)-(13+4根号3)] =根号[16+(2+根号5+2根号3)^2-6-2根号5-13-4根号3] =根号[(2+根号5+2根号3)^2-2(根号5+2根号3)-3] =根号[2^2+4(根号5+2根号3)+(根号5+2根号3)^2-2(根号5+2根号3...全部

  根号[16+2(1+根号5)*(1+2*根号3)] =根号[16+2(1+根号5)*(1+2*根号3)+(1+根号5)^2+(1+2根号3)^2-(1+根号5)^2-(1+2根号3)^2] =根号[16+(1+根号5+1+2根号3)^2-(1+根号5)^2-(1+2根号3)^2] =根号[16+(2+根号5+2根号3)^2-(6+2根号5)-(13+4根号3)] =根号[16+(2+根号5+2根号3)^2-6-2根号5-13-4根号3] =根号[(2+根号5+2根号3)^2-2(根号5+2根号3)-3] =根号[2^2+4(根号5+2根号3)+(根号5+2根号3)^2-2(根号5+2根号3)-3] =根号[(根号5+2根号3)^2+2(根号5+2根号3)+1] =根号[(根号5+2根号3+1)^2] =根号5+2根号3+1。
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