3 / (√3+√2) + 5 / (√3-√2) =
= 3*(√3-√2) / ( (√3+√2)(√3-√2) ) + 5*(√3+√2) / ( (√3+√2)(√3-√2) ) =
= ( 3*(√3-√2) + 5*(√3+√2)) / ( (√3+√2)(√3-√2) ) =
= ( 3√3 -3√2 + 5√3+5√2 ) / ( (√3) ^2-(√2)^2 ) =
= (8√3 + 2√2) / (3 - 2) = 8√3 + 2√2
4/5 = 24/30 = 96/120
5/6 = 25/30 = 100/120
Ответ 97/120 ; 98/120 ; 99/120
3х + у = 2
Х + 2у = 3
Решение
у = 2 - 3х
Х + 2( 2 - 3х ) = 3
Х + 4 - 6х = 3
- 5х = - 1
Х = 0,2
у = 2 - 0,6 = 1,4
Ответ ( 0,2 ; 1,4 )
6 5/6 , 4 2/3 и 1 1/7 переведем в неправильные дроби
6 5/6 = 41/6
4 2/3 = 14/3
1 1/7 = 8/7
1. 4/5 + 19 = 19 4/5 = 99/5
2. 41/6 + 14/3 = 41/6 + 28/6 = 69/6 = 23/3
3. 8/7 * 99/5 = 792/35
4. 792/35 * 23/3 = 18216/105 = 672/35 = 96/5 = 19,2