(根号2-1)(根号2+1)²怎么算

(根号2-1)(根号2+1)²怎么算
(根号2-1)(根号2+1)²怎么算

(根号2-1)(根号2+1)²怎么算
(√2-1)(√2+1)²
=(√2-1)(√2+1)(√2+1)
=(2-1)(√2+1)
=√2+1

(根号2-1)²(根号2+1)² 加一个平方
=[(√2-1)(√2+1)]²
=(2-1)²
=1

根号（2-1）=1，根号（2+1）²，根与平方消，得3，所以1×3=3