1. (√2+1)×(√2-1)=(√2)²-1²=2-1=1
2.(√7-√5)×(√5+√7)=(√7)²-(√5)²
=7-5=2
3. (2+√3)(2-√3)=2²-(√3)²=4-3=1
4. (√5+1)²=(√5)²+2√5+1=6+2√5
5. (√5-2)²=(√5)²-4√5+2²=5-4√5+4
=9-4√5
6. (2√2+3)²=(2√2)²+12√2+3²=8+12√2+9
=17+12√2
7. (√2+3√3)²=(√2)²+2√2*3√3+(3√3)²
=2+6√6+27=29+6√6
8. (1+√3)(2-√3)
=2-√3+2√3-3
=√3-1
9. √5×√9/20=3√5/20
10. √12×√3-5√63+√28
=2√3×√3-15√7+2√7
=6-13√7
1: √2^2-1^2=1(这是公式啊)
2:同1题 7-5=2
3:一样 2^2-√3^2=1
4: √5^2+2*√5*1+1^2=6+2√5
5: √5^2-4√5+4=9-4√5
6: 8+12√2+9=17+12√2
7: 2+2*√2*3√3+27=29+6√6
8: 2-√3+2√3-3=√3-1
9: √5*3/2√5=3/2
10: 2√3*√3-5*3√7+2√7=6-13√7