(1) 2√12*√45/√75
(2) √2(4√2+√8)
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2011-04-02 8:25 pm
回答 (2)
2011-04-02 8:32 pm
✔ 最佳答案
1) 2√12*√45/√75= 2√(4*3) * √(5*9) / √(3*25)= 2*√4 √3 * √5 √9 / (√3 √25)= 2*2√3 * 3√5 / (√3 * 5)= 12 √3 √5 / (√3 * 5)= 12√5 / 52)√2(4√2+√8)= 4√2 √2 + √8 √2= 4 * 2 + √16= 4*2 + 4= 12
2011-04-03 12:46 am
2sqrt12 *sqrt45 /sqrt75
=2*2sqrt3 *3sqrt5/5sqrt3
=12sqrt5/5
=2.4sqrt5
2011-04-02 16:47:09 補充：
sqrt2(4sqrt2+sqrt8)
=sqrt2(4sqrt2+2sqrt2)
=sqrt2*6sqrt2
=12
=2*2sqrt3 *3sqrt5/5sqrt3
=12sqrt5/5
=2.4sqrt5
2011-04-02 16:47:09 補充：
sqrt2(4sqrt2+sqrt8)
=sqrt2(4sqrt2+2sqrt2)
=sqrt2*6sqrt2
=12
收錄日期: 2021-04-20 00:22:08
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110402000051KK00448