Question

racionalize e simplifique
a)1/3-√6
b)2/√5+√3
c)2-√2/3+√2
d)√3-√2/√3+√2
me ajudem​

Answer 1

Oie, Td Bom?!

a)

$\frac{1}{3 - \sqrt{6} }$

$\frac{1}{3 - \sqrt{6} } \times \frac{ 3 + \sqrt{6} }{3 + \sqrt{6} }$

$\frac{1(3 + \sqrt{6} )}{(3 - \sqrt{6}) \times (3 + \sqrt{6} ) }$

$\frac{3 + \sqrt{6} }{9 - 6}$

$\frac{3 + \sqrt{6} }{3}$

b)

$\frac{2}{ \sqrt{5} + \sqrt{3} }$

$\frac{2}{ \sqrt{5} + \sqrt{3} } \times \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$\frac{2( \sqrt{5} - \sqrt{3} )}{( \sqrt{5} + \sqrt{3}) \times ( \sqrt{5} - \sqrt{3} )}$

$\frac{2( \sqrt{5} - \sqrt{3} )}{5 - 3}$

$\frac{2( \sqrt{5} - \sqrt{3}) }{2}$

$\sqrt{5} - \sqrt{3}$

c)

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

$\frac{2 - \sqrt{2} }{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} }$

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

$\frac{6 - 2 \sqrt{2} - 3 \sqrt{2} + 2}{9 - 2}$

$\frac{8 - 5 \sqrt{2} }{7}$

d)

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

$\frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} }$

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

$\frac{( \sqrt{3} - \sqrt{2} ) \times ( \sqrt{3} - \sqrt{2} )}{3 - 2}$

$\frac{( \sqrt{3} - \sqrt{2}) \times ( \sqrt{3} - \sqrt{2} )}{1}$

$( \sqrt{3} - \sqrt{2} ) \times ( \sqrt{3} - \sqrt{2} )$

$5 - 2 \sqrt{6}$

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