Question

Tot exercitiul 30 cu rezolvari complete!​

Answer 1

Răspuns:

Explicație pas cu pas:

a) √2⁶(5²-3²)=√2⁶(25-9)=√(2⁶·16)=√2⁶·4²)=2³·4=8·4=32

b) √(5²·2⁴+ 5²·3²)=√5²(2⁴+ 3²)=√5²(16+9)=√(5²·5²)=5·5=25      

c) √(5²·17²-2⁶·5²)=√5²(17²-2⁶)=√5²(289-64)=√(5²·225)=√(5²·15²)=5·15=75

d) √(13²-5²+9²)=√(169-25+81)=√225=√15²=15

e) √(15²+8²)=√(225+64)=√289=√17²=17

f) √16²+12²+15²)=√(256+144+225)=√625=√25²=25

g) √(18²+24²+40²)=√(324+576+1600)=√2500=√(5²·10²)=5·10=50

h) √(26²-24²)=√(676-576)=√100=√10²=10