maths Qs (急求steps) 10點問題!!!!!

2006-11-26 11:09 pm
2(√3)^5 + 20(√3)^3 + 10(√3)

=...................
=.....................

= 88(√3)


求詳細的steps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

回答 (2)

2006-11-26 11:17 pm
✔ 最佳答案
2(√3)^5 + 20(√3)^3 + 10(√3)
=2(3)^(5/2) + 20(3)^(3/2) + 10(3)^(1/2)
=2(3^2)(√3) + 20(3)(√3) + 10(√3)
=2(9)(√3) + 60(√3) + 10(√3)
=18(√3) + 60(√3) + 10(√3)
=88(√3)
2006-11-26 11:38 pm
2(√3)^5 + 20(√3)^3 + 10(√3)
=2 x {(√3)^5 + 10(√3)^3 + 5(√3)}
=2 x {(√3)^2 x (√3)^2 x (√3) + 10 x (√3)^2 x (√3) + 5(√3)}
=2 x ( 3 x 3 x √3 + 10 x 3 x √3 + 5 x √3 )
=2 x { 9(√3) + 30(√3) + 5(√3)}
=2 x 44(√3)
=88(√3)


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