Respuesta :

Proof:

[tex]\frac{1}{0.17157287525 } -\frac{1}{0.18267581368} +\frac{1}{0.19626156828} -\frac{1}{0.21342176528} +\frac{1}{0.2360679775}[/tex]

[tex]5.82842712475-5.47417843581+5.09524105385-4.68555772028[/tex]

[tex]+4.2360679775[/tex]

[tex]=5.00000000001[/tex]

Answer:

1/(3- √8) - 1/(√8-√7)+ 1/(√7-√6)-1/(√6-√5)+ 1/(√5-2) =

=(3+√8)/(3+√8)(3- √8) - (√8+√7)/(√8+√7)(√8-√7) + (√7+√6)/(√7+√6)(√7-√6) -

- (√6+√5)/(√6+√5)(√6-√5) + (√5+2)/(√5+2)(√5-2)=

=3 + √8 - √8 - √7 + √7 + √6 - √6- √5 +√5+2=

= 3 + 2 = 5

proved