簡約 (3-5sqrt(3))^2

解

簡約

(3 - 53)^{2}

84 - 303

十進法表記

32.03847 \dots

解答ステップ

(3 - 53)^{2}

完全平方式を適用する:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(3 - 53)^{2} = 3^{2} - 2 \cdot 3 \cdot 53 + (53)^{2}

= 3^{2} - 2 \cdot 3 \cdot 53 + (53)^{2}

3^{2} - 2 \cdot 3 \cdot 53 + (53)^{2} = 84 - 303

= 84 - 303