Respuestas sección 3.5

Ejercicios 1 al 10. Racionalización de denominadores.

  1. $\hspace{0.1cm}\cfrac{\sqrt{a}-a}{1-a}\\[0.2cm]$
  2. $\hspace{0.1cm}\cfrac{x+2\sqrt{xy}+y}{x-y}\\[0.2cm]$
  3. $\hspace{0.1cm}\cfrac{\sqrt{a}+\sqrt{b}}{a-b}\\[0.2cm]$
  4. $\hspace{0.1cm}\cfrac{4\sqrt[3]{\left(x-1\right)^2}}{x-1}\\[0.2cm]$
  5. $\hspace{0.1cm}\cfrac{t+10\sqrt{t}+25}{t-25}\\[0.2cm]$
  1. $\hspace{0.1cm}\left(9x+4y\right)\left(3\sqrt{x}-2\sqrt{y}\right)\\[0.2cm]$
  2. $\hspace{0.1cm}\cfrac{\sqrt[3]{a^2}+\sqrt[3]{ab}+\sqrt[3]{b^2}}{a-b}\\[0.2cm]$
  3. $\hspace{0.1cm}\cfrac{\sqrt[3]{x^2}+\sqrt[3]{xy}+\sqrt[3]{y^2}}{x+y}\\[0.2cm]$
  4. $\hspace{0.1cm}\cfrac{t^2-8\sqrt{t}+16}{t-4}\\[0.2cm]$
  5. $\hspace{0.1cm}\left(4x+y\right)\left(2\sqrt{x}+\sqrt{y}\right)\\[0.2cm]$