Oblicz:
[(3+5^1/2)^1/2-(3-5^1/2)^1/2]^2
...=(√(3+√5)-√(3-√5))²=
= (√(3+√5))² - 2*√(3+√5)(3-√5) + (√(3-√5))²=
= 3 +√5 - 2*√(3²-(√5)²) + 3-√5=
=6 - 2*√(9-5)=
= 6-2*√4=
=6-2*2=
=6-4=
=2
((3+2,5)^0.5-(3-2.5)^0,5)^2=
((5.5)^0.5-(0,5)^0,5)^2=
(2,75-0.25)^2=
(2,5)^2=6,25
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...=(√(3+√5)-√(3-√5))²=
= (√(3+√5))² - 2*√(3+√5)(3-√5) + (√(3-√5))²=
= 3 +√5 - 2*√(3²-(√5)²) + 3-√5=
=6 - 2*√(9-5)=
= 6-2*√4=
=6-2*2=
=6-4=
=2
((3+2,5)^0.5-(3-2.5)^0,5)^2=
((5.5)^0.5-(0,5)^0,5)^2=
(2,75-0.25)^2=
(2,5)^2=6,25