Question

2+根号3怎么开方答案是2/根号6+根号2

Answer 1

√ (2+√ 3)=√ [(4+2√ 3）/2]=√ [(3+2√ 3+1)/2]=√ [(√ 3+1)^2/2] =(√ 3+1)^(√ 2/2) =(√ 6+√ 2)/2 (根号不怎么好看,能看懂吧!）