Question

Ayuda por favor
Calcular G^2

Answer 1

Respuesta:

5

Explicación paso a paso:

$G = \frac{\sqrt{10}+\sqrt{2} }{\sqrt{10}-\sqrt{2}} - \frac{\sqrt{10}-\sqrt{2} }{\sqrt{10}+\sqrt{2}}\\G = \frac{(\sqrt{10}+\sqrt{2})(\sqrt{10}+\sqrt{2}) - (\sqrt{10}-\sqrt{2}) (\sqrt{10}-\sqrt{2})}{\sqrt{10}-\sqrt{2}(\sqrt{10}+\sqrt{2})}\\G = \frac{(\sqrt{10}+\sqrt{2}) ^{2} - (\sqrt{10}-\sqrt{2}) ^{2}}{\sqrt{10}^{2}-\sqrt{2}^{2} }\\ G = \frac{4(\sqrt{10})(\sqrt{2} ) }{10 - 2} \\G = \frac{4\sqrt{20} }{8} \\G = \frac{4\sqrt{4x5}}{8} \\G = \frac{4x2\sqrt{5} }{8} \\G = \frac{8\sqrt{5} }{8}$

$G = \sqrt{5}$

$G^{2} = \sqrt{5} ^{2} = 5$