簡約 (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3))

解

簡約

(10 - 3) (10 - 3)

13 - 230

十進法表記

2.04554 \dots

解答ステップ

(10 - 3) (10 - 3)

指数の規則を適用する:

aa = a^{2}

(10 - 3) (10 - 3) = (10 - 3)^{2}

= (10 - 3)^{2}

完全平方式を適用する:

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

(10 - 3)^{2} = (10)^{2} - 2103 + (3)^{2}

= (10)^{2} - 2103 + (3)^{2}

(10)^{2} - 2103 + (3)^{2} = 13 - 230

= 13 - 230