one girl always wanted to learn how to play the violin. she was listening to music, watching concerts and was sitting sadly at the window.
her family was very poor. they couldn’t buy a violin for their daughter.
but the girl tried not to be sad. she was happy when she heard the sound of a favorite musical instrument. she continued dreaming.
once she was walking on the street when she saw a homeless man, who was playing the violin.
she has a few dollars with herself. she was so sorry for this man so she decided to give him her money. — thank you, kind girl. – said the man. – what can i do for you? blushed she came home without saying a word. the next morning she found a violin near the front door. there was a note: ‘the kindness is always regarded’.
ответ: 1. 5¹⁰ +5⁸ -5⁹ =5⁸(5² +1 -5) = 5⁸*21 =5⁷*5*21 =5⁷*105 || делится на 105|| .
2. √(1 24/25 ) -√(0,09)*√81 +√(3² +4²)*√(0,0625) =√(49/25) -√(9/100) *√9² +√5² *√(0,25)² =7/5 -9/10*9 +5*0,25 =
1,4 -8,1+1,25 = -5,45.
3. a =13q₁ +8 ; b=13q₂ +10 .
a*b = (13q₁ +8)(13*q₂ +10) = 13² q₁q₂ +13*10q₁ + 13*8q₂+ 80 =.
13² q₁q₂ +13*10q₁ + 13*8q₂+ 13*6 + 2 =13(13 q₁q₂ +10q₁ + 8q₂+ 6) +2 . || r =2||.
4.√((7-4√3)/(5-2√6)) -√((6-4√2)/(5+2√6)) -4√2 =√((2²-2*2√3 +(√3)²)/(3-2√3*√2 +2)) -√((4-2*2*√2 +2)/(3+2√3*√2 +2) ) - 4√2 = √((2-√3)²)/(√3-√2)² ) -√((2-√2)²/(√3+√2)²) - 4√2 = (2-√3)/(√3-√2) -(2-√2)/(√3+√2) - 4√2 = (2-√3)(√3+√2) -(2-√2)(√3-√2) - 4√2 =
2√3+2√2 -3 -√3*√2 -2√3 +2√2 +√3*√2 -2 - 4√2 = - 5.
5. (x² +x√2)/(x² +2) *( x/(x-√2) -√(2) / (x+√2) ) =
(x² +x√2)/(x² +2) *(x(x+√2) -√(2) * (x-√2) ) / (x+√2) (x-√2) )=
(x² +x√2)/(x² +2) *(x²+x√2 -x√2 +2 ) / (x² -2) )=
(x² +x√2)/(x² +2) *(x² +2 ) / (x² -2) ) = x(x+√2) / (x +√2)(x -√2) =x /(x -√2) .
6. ( √(19 +8√3) +√(7-4√3) ) *x√y /(√x²y³ +√x³y²) =
( √(4+√3)² +√(2 -√3)² ) *x√y /xy(√y +√x) =( 4+√3 +2 -√3 ) *1 / √y(√y +√x ) =
6/√y (√y +√x )= || x =121 , y =16 || = 6/(√16(√16 +√121 )) =6/(4(4+11)) =
=6/(4*15) =6/60 = 0,1.
объяснение: если ты не туп! й то объяснение тебе не надо!