關於化簡數式的問題!!

2008-05-14 6:11 pm
請化簡以下數式 :

( 2-(2)^(1/2) )^(1/2) / ( 2+(2)^(1/2) )^(1/2)
更新1:

答案係 ( (2)^(1/2) - 1 ) / 2 請列明詳細步驟,因為我唔係好明....

更新2:

SORRY,係 (2)^(1/2) - 1 ....

回答 (1)

2008-05-14 8:38 pm
✔ 最佳答案
[√(2-√2)]/[√(2+√2)]
={[√(2-√2)][√(2-√2)]/[√(2+√2)][√(2-√2)]
=[√(2-√2)^2]/[√(4-2)]
=(2-√2)/(√2)
=(2-√2)(√2)/(√2)(√2)
=(2√2-2)/2
=√2-1


收錄日期: 2021-04-26 13:03:58
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