Odpowiedź:
zad 22
a)
(2 + √3)(1 + √3) = 2 + √3 + 2√3 + 3 = 3√3 + 5
b)
(3 - √5)(√5 + 2) = 3√5 - 5 + 6 - 2√5 = √5 + 1
c)
4(5√2 - 6) + (1 + √2)(2 + √2) = 20√2 - 24 + 2 + 2√2 + √2 + 2 = 23√2 - 20
d)
- 3(2√7 + 3) - (4 - √7)(3√7 + 1) = - 6√7 - 9 - (12√7 - 3 * 7 + 4 - √7) =
= - 6√7 - 9 - (11√7 - 21 + 4) = - 6√7 - 9 - (11√7 - 17) = - 6√7 - 9 - 11√7 + 17 =
= 8 - 17√7
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Odpowiedź:
zad 22
a)
(2 + √3)(1 + √3) = 2 + √3 + 2√3 + 3 = 3√3 + 5
b)
(3 - √5)(√5 + 2) = 3√5 - 5 + 6 - 2√5 = √5 + 1
c)
4(5√2 - 6) + (1 + √2)(2 + √2) = 20√2 - 24 + 2 + 2√2 + √2 + 2 = 23√2 - 20
d)
- 3(2√7 + 3) - (4 - √7)(3√7 + 1) = - 6√7 - 9 - (12√7 - 3 * 7 + 4 - √7) =
= - 6√7 - 9 - (11√7 - 21 + 4) = - 6√7 - 9 - (11√7 - 17) = - 6√7 - 9 - 11√7 + 17 =
= 8 - 17√7