急急急!!9條不盡根

1. √55 x √11 x √10 = √(5*11*11*5*2) = 55√2
2. 5√8 x 3√6 = 10√2 x 3√6 = 30√(2*2*3) = 60√3
3. 3√20 x √72 = 6√5 * 6√2 = 36√10
4. 2√70 x √35 = 2√(35*2*35) = 70√2
5. 4√33 x 5√22 = 20√(11*3*2*11) = 220√6
6. √14 x √125 = √(7*2*5*5*5) = 5√70
7. √200 x 7√3 = 7√(2*2*5*2*5*3) = 70√6
8. 5√5 x 6√6 = 30√30
9. √52 x 3√13 = 3√(13*4*13) = 39√4

1.√55 x √11 x √10
=√5 x √11 x √11 x √2 x √5
=5 x 11 x √2
=55√2
2.5√8 x 3√6
=10√2 x 3 x √2 x √3
=30 x 2 x √3
=60√3
3.3√20 x √72
=3 x 2√5 x 6√2
=36√10
4.2√70 x √35
=2√35 x √2 x √35
=2 x 35 x √2
=70√2
5.4√33 x 5√22
=4 x √11 x √3 x 5 x √11 x √2
=4 x 11 x 5 x √6
=220√6
6.√14 x √125
=√14 x 5√5
=5√70
7.√200 x 7√3
=10√2 x 7√3
=70√6
8.5√5 x 6√6
=30√30
9.√52 x 3√13
=2√13 x 3√13
=6√13

2012-08-24 12:11:02 補充：
sorry,第9題錯咗..
9.
√52 x 3√13
=2√13 x 3√13
=6 x 13
=78

1.
√55 x √11 x √10
=√(5*11)*√11*√(2*5)
=11*5*√2
=55√2

2.
5√8 x 3√6
=5√(4*2)*3√(3*2)
=5*2*2*3√3
=60√3

3.
3√20 x √72
=3√(4*5)*√(4*9*2)
=3*2*2*3√(5*2)
=36√10

4.
2√70 x √35
=2√(7*5*2)*√(7*5)
=2*7*5√2
=70√2

5.
4√33 x 5√22
=4*5*√(11*3*11*2)
=20*11√6
=220

6.
√14 x √125
=√(7*2)*√(25*5)
= 5√70

7.
√200 x 7√3
=√(2*100)*7√3
=70√6

8.
5√5 x 6√6
=30√30

9.
√52 x 3√13
=√(4*13)*3√13
=6*13
=78

2012-08-24 11:53:33 補充：
神風亨：
你的第9題還有得化簡
39√4=39*2=78