Odpowiedź:
Zad 4
a) √12 = √4*3 = 2√3
b) √20 = √5*4 = 2√5
c) √45 = √5*9 = 3√5
d) √108 = √12*9 = 3√12
Zad 5
a) √15 * √15 = √225 = 15
b) √4/5 * √6/10 * √12 = √24/50 * √12 = √288/50 = √5 76/50 = √6 26/50
Zad 7
a) √131^2 = √17161 = 131
b) √38 * √19 = √722
c) √3 * √6 * √2 = √36 = 6
Zad 8
a) 2√3 = √6
b) 3√3 = √9
c) 5√2 = √10
d) 5√5 = √25
Zad 9
a) 4/√2 = 4/√2 * √2/√2 = 4√2
b) 3/2√2 = 3/2√2 * √2/√2 = 3√2/2
c) 4√3 = 4/√3 * √3/√3 = 4√3
Zad 10
P = a*b
P = 3√2*√2
P = 3√4
P = 3*2
P = 6 cm²
Szczegółowe wyjaśnienie: