1. 计算:
(1)$\sqrt [3]{-8}-\sqrt {(-1)^{2}}$;
(2)(2025·泰州期末)$\sqrt {(-5)^{2}}-\sqrt [3]{8}-\sqrt {\frac {1}{4}}$;
(3)$(\sqrt {3})^{-2}-\sqrt [3]{-64}-\sqrt {3^{2}+4^{2}}$;
(4)(2025·盐城期末)$|2-\sqrt {5}|-(\sqrt {5}-3)+(\sqrt {5}-1)^{0}$;
(5)(2025·苏州期末)$2\sqrt {\frac {1}{4}}-|2-\sqrt {3}|+\sqrt {9^{2}}+\sqrt [3]{-27}$.

(1) 原式$=-2-1=-3$. (2) 原式$=5-2-\frac{1}{2}=2.5$.
(3) 原式$=\frac{1}{3}-(-4)-5=-\frac{2}{3}$. (4) 原式$=\sqrt{5}-2-\sqrt{5}+3+1=2$.
(5) 原式$=2\times\frac{1}{2}-(2-\sqrt{3})+9-3=1-2+\sqrt{3}+9-3=5+\sqrt{3}$.

2. 求下列各式中x的值.
(1)$4x^{2}+1= 10$;
(2)$(x-1)^{2}-25= 0$;
(3)(2025·盐城期末)$64(x+1)^{3}= -125$;
(4)$(2x+1)^{3}+0.008= 0$;
(5)$3(1-3x)^{2}-27= 0$.

(1)$x=\pm\frac{3}{2}$. (2)$x=6$或$x=-4$. (3)$x=-\frac{9}{4}$. (4)$x=-0.6$.
(5)$x=-\frac{2}{3}$或$x=\frac{4}{3}$.