化簡下列各式。
( 5 / √12 ) - ( √18 / 7 )
數學題一條
2006-10-17 7:43 am
回答 (4)
2006-10-17 7:53 am
✔ 最佳答案
( 5 / √12 ) - ( √18 / 7 ) = ( 5 √12 / 12 ) - ( √18 / 7 )
= [5 (2) √3/12]-(3 √2/7)
= (5√3/6) - (3 √2/7)
= (35√3/42) - (18√2/42)
= (35√3-18√2)/42
2006-10-17 8:09 am
(5 / √12) - (√18 / 7)
= (5 √12) / 12 - (√18 / 7)
= (35 √12) / 84 - (12√18 / 84)
= (35 √12 - 12√18) / 84
= √12 (35 - √12√18) / 84
= √12 (35 - √4√3√9√2) / 84
= √12 (35 - 2√3 x3√2) / 84
= √12 (35 - 6√6) / 84
I hope I can help you
= (5 √12) / 12 - (√18 / 7)
= (35 √12) / 84 - (12√18 / 84)
= (35 √12 - 12√18) / 84
= √12 (35 - √12√18) / 84
= √12 (35 - √4√3√9√2) / 84
= √12 (35 - 2√3 x3√2) / 84
= √12 (35 - 6√6) / 84
I hope I can help you
參考: By myself and I got grade A in Maths and A Maths
2006-10-17 7:52 am
(35-6 √6)/ √12
2006-10-17 7:51 am
將根號入面的數寫盡量寫成可以完全地square root
eg: √12 =√3*√4=2√3
2006-10-16 23:52:03 補充：
sorry, 將根號入面的數盡量寫成可以完全地square root
eg: √12 =√3*√4=2√3
2006-10-16 23:52:03 補充：
sorry, 將根號入面的數盡量寫成可以完全地square root
收錄日期: 2021-04-12 22:51:23
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