Question

Oblicz:

a) \sqrt{2} * \sqrt{32} =

b) \sqrt[3]{25} * \sqrt[3]{50} * \sqrt[3]{100} =

c) \sqrt{80} : \sqrt{5} =

d) \sqrt[3]{54} : \sqrt[3]{2} =

e) \sqrt[3]{\frac{2}{3}} : \sqrt[3]{\frac{2}{81}} =

f) \sqrt[3]{0,27} : \sqrt[3]{10} =

Answer 1

a) √2 * √32 = √(2*32)= √64 = 8

b) ∛25 * ∛50 * ∛100 = ∛(25*50*100)= ∛125000=50

c) √80 : √5 =√(80:5)= √16=4

d) ∛54 :∛2 =∛(54:2)= ∛27=3

e) ∛(2/3)  : ∛(2/81) = ∛(2/3*81/2)=∛27=3

f) ∛0,27 : ∛10 = ∛0,027=0,3