已知x=根号3+2根号2⼀6,求x⼀根号1-x^2+根号1-x^2⼀x

2024-12-20 22:11:35
推荐回答(1个)
回答1:

x=sqrt((3+2√2)/6),对吧?
x=(√2+1)/√6
1-x^2=1-(3+2√2)/6=(3-2√2)/6=(√2-1)^2/6
x/sqrt(1-x^2)+sqrt(1-x^2)/x
=1/(xsqrt(1-x^2))
=1/((√2+1)(√2-1)/6)
=6