surd question...

2007-03-17 7:42 am
Simplify
Q1.√2/3+√6-3√242/3
Q2.√2(√8+√6)
Q3.2√3(√15-3√5)

thx!

回答 (2)

2007-03-17 7:56 am
✔ 最佳答案
Q1.√2/3+√6-3√242/3
= (√2 + √6√3 - 3√242 ) / √3
= (√2 + 3√2 - 33√2 ) / √3
= -29√2 /√3
= -29/3 √6

Q2.√2(√8+√6)
= √16+√12
= 4 + √4√3
= 4 + 2√3

Q3. 2√3(√15-3√5)
= 2√3√15 - 6√3√5
= 2√3√3√5 - 6√3√5
= 6√5 - 6√3√5
= 6√5 (1 - √3)
2007-03-18 3:03 pm
Q1 answer is :
√2/3+√6-3√242/3
= (√2 + √6√3 - 3√242 ) / √3
= (√2 + 3√2 - 33√2 ) / √3
= -29√2 /√3
= -29/3 √6

Q2 answer is :
√2(√8+√6)
= √16+√12
= 4 + √4√3
= 4 + 2√3

Q3 answer is :
2√3(√15-3√5)
= 2√3√15 - 6√3√5
= 2√3√3√5 - 6√3√5
= 6√5 - 6√3√5
= 6√5 (1 - √3)
參考: me


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