Question

Racionalizar las siguientes expresiones con denominador binomio

Answer 1

Respuesta:

3.

$\frac{2+\sqrt{6} }{2-\sqrt{6 }}.\frac{2+\sqrt{6} }{2+\sqrt{6} }$

$\frac{(2+\sqrt{6}) ^{2} }{(2-\sqrt{6})(2+\sqrt{6}) }$

$\frac{2^{2}+2.2.\sqrt{6}+(\sqrt{6}) ^{2} }{2^{2}-\sqrt{6} ^{2} }$

$\frac{4+4\sqrt{6} +6}{4-6}$

$\frac{10+4\sqrt{6} }{-2}$

$-\frac{2(5+2\sqrt{6} )}{2}$

-(5+2√6)

-5- 2√6

4.

$\frac{\sqrt{7}-\sqrt{3} }{\sqrt{7}+\sqrt{3} }.\frac{\sqrt{7}-\sqrt{3} }{\sqrt{7}-\sqrt{3}}$

$\frac{(\sqrt{7}-\sqrt{3})^{2} }{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}$

$\frac{(\sqrt{7} )^{2}-2.\sqrt{7}.\sqrt{3} +(\sqrt{3}) ^{2} }{(\sqrt{7}) ^{2} -(\sqrt{3}) ^{2} }$

$\frac{7-2\sqrt{21}+3 }{7-3}$

$\frac{10+2\sqrt{21} }{4}$

$\frac{2(5+\sqrt{21}) }{2.2}$

$\frac{5+\sqrt{21} }{2}$