Dla argumentu 2 pierwiastek z 2 funkcja f(x)=24-x do sześcianu przez pierwiastek z 2 przyjmuje wartość :
x = 2√2
f(x) = (24 - x³) / √2
f(2√2) = (24 - (2√2)³) / √2 = (24 - 8√8) / √2 = (24 - 8 * 2√2) / √2 = (24 - 16√2) / √2 =
8(3 - 2√2) / √2 = 8√2(3 - 2√2) / 2 = 4√2(3 - 2√2) = 12√2 - 16
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x = 2√2
f(x) = (24 - x³) / √2
f(2√2) = (24 - (2√2)³) / √2 = (24 - 8√8) / √2 = (24 - 8 * 2√2) / √2 = (24 - 16√2) / √2 =
8(3 - 2√2) / √2 = 8√2(3 - 2√2) / 2 = 4√2(3 - 2√2) = 12√2 - 16