Question

me ayudan ? por favor

Answer 1

Hola (｡•̀ᴗ-)✧

Respuesta:

G = √5

Explicación paso a paso:

$G = \frac{ \sqrt{10} + \sqrt{2} }{ \sqrt{10} - \sqrt{2} } - \frac{ \sqrt{10} - \sqrt{2} }{ \sqrt{10} + \sqrt{2} }$

$G = \frac{( \sqrt{10} + \sqrt{2} )^{2} - {( \sqrt{10} - \sqrt{2} )}^{2} }{( \sqrt{10} - \sqrt{2})( \sqrt{10} + \sqrt{2} ) }$

$G = \frac{(10 + 2 \sqrt{20} + 2) - {( 10 - 2 \sqrt{20} + 2)} }{(10 - 2 ) }$

$G = \frac{ 4\sqrt{20} }{8 }$

$G = \frac{ 4\sqrt{4 \cdot5} }{8 }$

$G = \frac{ 4\sqrt{4 } \sqrt{5} }{8 }$

$G = \frac{ 4\cdot2 \sqrt{5} }{8 }$

$G = \frac{8 \sqrt{5} }{8 }$

$G = \sqrt{5}$