Odwrotnością liczby (1+√2)^2 jest liczba:
a) 1/ 3-2√2
b) 3-2√2
c) 1/3
d) - 1/3
(1+√2)^2 = 1+2√2+2
odwrotność to :
1 1*(3-2√2) 3-2√2 3-2√2
--------- = ------------------ = --------------- = ----------- = 3-2√2
3+2√2 (3+2√2)*(3-2√2) 9 - 8 1
odp. b)
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(1+√2)^2 = 1+2√2+2
odwrotność to :
1 1*(3-2√2) 3-2√2 3-2√2
--------- = ------------------ = --------------- = ----------- = 3-2√2
3+2√2 (3+2√2)*(3-2√2) 9 - 8 1
odp. b)