Răspuns :
1. √6² + 8² - √225 = 6 + 64 -√15² = 70 - 15 = 55
2. √100 ·√2 + 2√4√2 - 3√16√2 + √25√2 =( 10 + 4 -12 + 5)·√2 = 7√2
3. a = √3 - √7
b = 2√7 - 3√3
2a - b = 2√3 - 2√7 - 2√7 + 3√3 = 5√3
4. (2√4·√5 - 3√9 ·√5 ) : 5√5 = ( 4√5 - 9√5 ) :5√5 =( - 5√5) : (5√5) = - 1
⇵ ⇵
=2 =3
5. a = 2√4·√6 = 2· 2 ·√6 = 4√6
b = 9√6
med.aritm =( a + b) / 2 = ( 4√6 + 9√6) / 2 = 13√6 / 2
poate med. geom = √a·b = √4√36√9 = 2· 6·3 = 36
2. √100 ·√2 + 2√4√2 - 3√16√2 + √25√2 =( 10 + 4 -12 + 5)·√2 = 7√2
3. a = √3 - √7
b = 2√7 - 3√3
2a - b = 2√3 - 2√7 - 2√7 + 3√3 = 5√3
4. (2√4·√5 - 3√9 ·√5 ) : 5√5 = ( 4√5 - 9√5 ) :5√5 =( - 5√5) : (5√5) = - 1
⇵ ⇵
=2 =3
5. a = 2√4·√6 = 2· 2 ·√6 = 4√6
b = 9√6
med.aritm =( a + b) / 2 = ( 4√6 + 9√6) / 2 = 13√6 / 2
poate med. geom = √a·b = √4√36√9 = 2· 6·3 = 36