Question

calculo de (2^-1+2^1/2)²-12√2

Answer 1

$(2^{-1}+2^{\frac{1}{2}})^2-12\sqrt2=\\ \\ (\frac{1}{2}+\sqrt2)^2-12\sqrt2=\\ \\ \frac{1}{4}+2.\frac{1}{2}\sqrt2-12\sqrt2=\\ \\ \boxed{\frac{1}{4}+\sqrt2-12\sqrt2=\frac{1}{4}-11\sqrt2}$