化簡3 + 2√2 + 1/3 +2√2
我想問怎樣去有理化？？
明天考maths啊><
感謝各位的幫忙
一條maths問題：化簡3 + 2√2 + 1/3 +2√2
2007-01-18 5:48 am
回答 (6)
2007-01-18 5:53 am
✔ 最佳答案
有理化 (rationalize)？Then I guess you're writing (3 + 2√2) + 1/ (3 +2√2).(3 + 2√2) + 1/(3 +2√2)
= (3 + 2√2) + (3 - 2√2) / [(3 +2√2) • (3 - 2√2)]
= (3 + 2√2) + (3 - 2√2) / [(3) ^2 - (2√2) ^2]
= (3 + 2√2) + (3 - 2√2) / [9 - 8]
= (3 + 2√2) + (3 - 2√2)
= 6.
2007-01-18 7:22 am
化簡 (1) : 3 + 2√2 + 1/3 +2√2
= 3 + 1 / 3 + 4√2
= 10 / 3 + 4√2
化簡 (2) : (3 + 2√2) + 1/ (3 +2√2).
=( 3 + 2√2 +1) / (3 +2√2)
= (4 + 2√2) / (3 +2√2)
= (4 + 2√2)( 3 - 2√2 ) / (3 +2√2)( 3 - 2√2 )
=( 12 - 8√2 + 6√2 - 8 ) / ( 9 - 8)
= ( 4 - 2√2 ) / 1
= 4 - 2√2
= 3 + 1 / 3 + 4√2
= 10 / 3 + 4√2
化簡 (2) : (3 + 2√2) + 1/ (3 +2√2).
=( 3 + 2√2 +1) / (3 +2√2)
= (4 + 2√2) / (3 +2√2)
= (4 + 2√2)( 3 - 2√2 ) / (3 +2√2)( 3 - 2√2 )
=( 12 - 8√2 + 6√2 - 8 ) / ( 9 - 8)
= ( 4 - 2√2 ) / 1
= 4 - 2√2
2007-01-18 6:18 am
(3 + 2√2) + 1/ (3 +2√2).
=(3 + 2√2) * (3 + 2√2) + (3 + 2√2) / (3 + 2√2)
= 3 * 3 + 2 * 3 * 2√2 + 4 * 2 + 1
= 18 + 12√2
=(3 + 2√2) * (3 + 2√2) + (3 + 2√2) / (3 + 2√2)
= 3 * 3 + 2 * 3 * 2√2 + 4 * 2 + 1
= 18 + 12√2
2007-01-18 5:54 am
3 + 2√2 + 1/3 +2√2
=(3+1/3)+(2+2√2 )
=10/3+4√2
=(10+12√2)/3
=(3+1/3)+(2+2√2 )
=10/3+4√2
=(10+12√2)/3
2007-01-18 5:52 am
3 + 2√2 + 1/3 +2√2
=(3+1/3)+(2+2√2 )
=10/3+4√2
個answer計完出來，唔使有理化，因為分母冇√
=(3+1/3)+(2+2√2 )
=10/3+4√2
個answer計完出來，唔使有理化，因為分母冇√
參考: me
2007-01-18 5:51 am
不可能有理化
因為3 + 2√2 + 1/3 +2√2 = 10/3 +4√2
因為3 + 2√2 + 1/3 +2√2 = 10/3 +4√2
收錄日期: 2021-04-13 16:29:17
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070117000051KK04687