Question

Efectuează produsele si scoate factorii de sub radical
a) radical 5×radical 30
b) radical2×radical18
c)radical 80×radical 1pe5
d)radical0,08×radical0,18
e)radicalul 3,2×radical 0,8
f)radicalul 9pe10×radical 40pe81

Answer 1

Răspuns:a) √5·√30=√5·√(5·3·2)=√5·√5·√3·√2=(√5·√5)·(√3·√2)=5·√6

b) √2·√18=√2·√(2·3·3)=√2·√2·√3·√3=(√2·√2)·(√3·√3)=2·3=6

c) √80·√(1/5)=√(80 · 1/5)=√16=4

d) √0,08·√0,18=√(0,08·0,18)=√0,0144=√144/10000=√144/√10000=12/100=0,12

e) √3,2·√0,8=√(3,2 · 0,8)=√2,56=1,6

f) √(9/10)·√(40/81)=√(9/10 · 40/81)=√(9·40)/(10·81)=√(4/9)=√4:√9=2/3

Explicație pas cu pas: