急呀,数学题,写出过程方括号代表根号

来源:百度知道 编辑:UC知道 时间:2024/06/16 16:23:15
(1)[18]-2/[2]-[8]/2+([5]-1)0次方(2)1/[2]-1+[3]([3]-[6])+[8](3)[8]+[1/2]-[9/2]-[3/2]+[6]-[24]

(1)√18-2/√2-√8/2+(√5-1)0次方
=3√2-(√2)^2/√2-2√2/2+1
=3√2-√2-√2+1
=√2+1

(2)1/(√2-1)+√3(√3-√6)+√8
=(√2+1)/(√2-1)(√2+1)+√3*√3-√3*√6+2√2
=(√2+1)/(2-1)+3-√18+2√2
=√2+1+3-3√2+2√2
=4

(3)√8+√(1/2)-√(9/2)-√(3/2)+√6-√24
=2√2+√2/2-3√2/2-√6/2+√6-2√6
=√2-(3/2)*√6

1.原式=[9][2]-[2][2]/[2]-[4][2]/2+1
=3[2]-[2]-[2]+1
=[2]+1
2.原式=1([2]+1)/([2]+1)([2]-1)+3-[3][3][2]
+[4][2]
=[2]+1+3-3[2]+2[2]
=4
3.原式=[4][2]+[2]/2-3[2]/2-[6]/2+[6]-[4]
[6]
=2[2]-[2]+[6]/2-2[6]
=[2]-3[6]/2