(2√3⼀2-√1⼀2)(1⼀2√8+√2⼀3)

2025-05-23 08:24:01
推荐回答(1个)
回答1:

[2√(3/2)-√(1/2))[1/2√8+√(2/3)]
=[√(4*3/2)-√(2*1/2*2)][1/2*2√2+√(2*3/3*3)]
=[√6-(√2)/2][√2+(√6)/3]
=√6*√2+√6*(√6)/3-(√2)/2*√2-(√2)/2*(√6)/3
=2√3+2-1-(√3)/3
=2√3-(√3)/3+1
=(5√3)/3+1