Respuesta :

Rinkhals

We know that :

  • (a + b)² = a² + b² + 2ab
  • [tex](\sqrt{x})^2 = (x^\frac{1}{2})^2 = x^\frac{2}{2} = x[/tex]
  • [tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex]

Now using above ideas, we can solve the Problem

[tex](\sqrt{8} + \sqrt{2})^2 = (\sqrt{8})^2 + (\sqrt{2})^2 + 2(\sqrt{8})(\sqrt{2})[/tex]

[tex](\sqrt{8} + \sqrt{2})^2 = 8 + 2 + 2(\sqrt{16}) = 8 + 2 + 2(4) = 10 + 8 = 18[/tex]