a) \(\left(-\dfrac{5}{7}\right)^2+8.\left(0,5\right)^2+\left(-1\right)^{2010}\)
\(=\dfrac{25}{49}+8.\dfrac{1}{4}+1\)
\(=\dfrac{25}{49}+2+1\)
\(=\dfrac{172}{49}\)
b) \(-\dfrac{1}{6}:\left|\dfrac{5}{12}-\dfrac{3}{8}\right|\)
\(=-\dfrac{1}{6}:\dfrac{1}{24}\)
\(=-4\)
c) \(\sqrt{121}-\sqrt{400}+\sqrt{\left(-3\right)^2}\)
\(=11-20+\left|-3\right|\)
\(=11-20+3\)
\(=-6\)