Odpowiedź:
Szczegółowe wyjaśnienie:
Karta Pracy 2
1.
a) 3/√7 = 3/√7 * √7/√7 = 3√7/7
b) 4/√8 = 4/2√2 = 2/√2 = 2/√2 * √2/√2 = 2√2/2 = √2
c) 36/√3 = 36/√3 * √3/√3 = 36√3/3 = 12√3
d) 5/2√5 = 5/2√5 * √5/√5 = 5√5/10 =√5/2
2.
√(-5)² = √25 = 5 P
(∛(-6)²)³ = 36 F
3.
a) ∛1/8 +∛3 3/8 = 1/2 + ∛27/8 = 1/2 + 3/2 =2 < 3 1/2
b) √9 + √16 = 3 + 4 = 7 = √49 = 7
c) ∛(1 000 000) * √1/64 = 100 * 1/4 = 25
∛64* √(1/1000 000) = 4 * 0,001 = 0,004
czyli: 25 > 0,004
Karta Pracy 1
1.
∛1/125 * ∛64 = 1/5 * 4 = 4/5
2.
a) ∛4/75 * ∛(1 1/5) + ∛0,5 * ∛18 * ∛24 = ∛4/75 * ∛6/5 + ∛(5*18*24/10) =
∛(8*3/125*3) + ∛(18*12) = 2/5 + ∛(2*9*3*4) = 2/5 + 3*2 = 6 2/5
b) √6*√10*√15/(∛4*∛6*∛9) = √900/∛216 = 30/6 = 5
c) ∛2 29/80 : ∛25/98 = ∛189/80 * ∛98/25 = ∛(189*98/80*25) =
= ∛(7*27*49/40*25) = 3*7/10 = 21/10 = 2,1
3.
L = ∛8 + ∛27 = 2 + 3 = 5
P = ∛64 = 4
5 > 4 Prawda
L = ∛0,001 + ∛0,125 = 0,1 + 0,5 = 0,6
P = ∛0,216 = 0,6
Fałsz, powinno być =
