GWD2 Q8

[gimmy03]

Which of the following is equal to [1/(√3-√2)]2?

A. 1
B. 5
C. √6
D. 5 - √6
E. 5 + 2√6

Ans: E

Please help~ 3Q

[汪汪北鼻]

[1/(√3- √2)]^2

1/(√3- √2)上下同乘√3+ √2得 √3+ √2

(√3+ √2)^2=5+2√6

[魚]

Which of the following is equal to [1/(√3-√2)]2?

A. 1
B. 5
C. √6
D. 5 - √6
E. 5 + 2√6

Ans: E

Please help~ 3Q

[1/(√3-√2)] 的平方 = ?

1. 通分 上下同x (√3+√2)

原式 = <(√3+√2) / (√3-√2) (√3+√2)>的平方 ......................(1)

2.整理 : 分母套用公式 : (a+b)(a-b)=a平方-b平方


(1)= (√3+√2)的平方 =3 +2X√3X√2 +2=5 + 2√6......................解

[汪汪北鼻]

魚解的好詳細，慚愧ing ....

[gimmy03]

多謝兩位大俠大力幫助 ~