Question

已知x=根号2减1分之根号2加1,y=根号3加1分之根号3减1,求x的平方减y的平方

Answer 1

X²=(√2+1)²/(√2-1)²=(3+2√2)/(3-2√2)=(3+2√2)²=17+12√2

Y²=(√3-1)²/(√3+1)²=(4-2√3)/(4+2√3)=7-4√3

所以X²-Y²=10+12√2+4√3.