Przykłady do rozwiązania podane w załączniku.
a) √(√3-1)^2 + √(3-√3)^2 = 2
√3-1+3-√3 = 2
2 = 2
b) √(√5-1)^2 - √(√5-2)^2 = 1
√5-1-√5+2 = 1
1 = 1
c) 3√(3+√2)^2 - √(3√2-1)^2 = 10
3(3+√2)-3√2+1 = 10
9+3√2-3√2+1 = 10
10 = 10
d) √(5+2√6) + √(5-2√6) = 2√3 / ()^2
5+2√6+5-2√6+2√(5+2√6)(5-2√6) = 12
10+2√1 = 12
12 = 12
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a) √(√3-1)^2 + √(3-√3)^2 = 2
√3-1+3-√3 = 2
2 = 2
b) √(√5-1)^2 - √(√5-2)^2 = 1
√5-1-√5+2 = 1
1 = 1
c) 3√(3+√2)^2 - √(3√2-1)^2 = 10
3(3+√2)-3√2+1 = 10
9+3√2-3√2+1 = 10
10 = 10
d) √(5+2√6) + √(5-2√6) = 2√3 / ()^2
5+2√6+5-2√6+2√(5+2√6)(5-2√6) = 12
10+2√1 = 12
12 = 12