簡約 (2+sqrt(3))^2-(2-sqrt(3))^2

解

簡約

(2 + 3)^{2} - (2 - 3)^{2}

83

十進法表記

13.85640 \dots

解答ステップ

(2 + 3)^{2} - (2 - 3)^{2}

(2 + 3)^{2} = 7 + 43

(2 - 3)^{2} = 7 - 43

= 7 + 43 - (7 - 43)

拡張

- (7 - 43) : - 7 + 43

= 7 + 43 - 7 + 43

類似した元を足す:

43 + 43 = 83

= 7 + 83 - 7

数を引く:

7 - 7 = 0

= 83