化简 (2+sqrt(3))^2

解答

化简

(2 + 3)^{2}

7 + 43

十进制

13.92820 \dots

求解步骤

(2 + 3)^{2}

使用完全平方公式:

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

(2 + 3)^{2} = 2^{2} + 2 \cdot 23 + (3)^{2}

= 2^{2} + 2 \cdot 23 + (3)^{2}

2^{2} + 2 \cdot 23 + (3)^{2} = 7 + 43

= 7 + 43

\frac{1}{4} x^{2} + x + \frac{1}{4} = 0

- 3 x^{2} - 2 x = 2

(x + 1) (x - 4) = 0

20 - 2 (- 8 + 5)

3 x + 7 = 4 x - 3