task/29714603 √ a² = | a | → - a , если a< 0 ИЛИ a , если a ≥ 0 .
10. √(b²+10b+25) - √(b²-12b+36) - √(25b²) = || -3 ≤ b ≤ - 1 || =
√(b+5)² - √(b-6²) - √(5b)² = | b+5 | - | b-6 | - 5*|b| = b+5 + b-6 +5b = 7b -1 .
* * * - 3 ≤ b ≤ - 1 ⇔ - 3 +5 ≤ b +5 ≤ - 1+5 ⇔ 2 ≤ b +5 ≤ 4 ⇒ | b +5 | =b+5 И - 3 ≤ b ≤ - 1 ⇔ - 3 - 6 ≤ b - 6 ≤ - 1 - 6 ⇔ -9 ≤ b - 6 ≤ - 7 ⇒ | b-6 | = - (b- 6)
9. √[ (3,13² -3,12²) (8,2² -1,8²)] =√[ (3,13 -3,12)(3,13 +3,12)(8,2 -1,8)(8,2 +1,8) ] =
√(0,01*6,25*6,4*10) =√(0,1²*2,5²*8²) = 0,1*2,5*8 = 2.
8. 13m√(25m⁶n⁴) , m< 0 , n < 0
13m√(25m⁶n⁴) = 13m*5*| m ³ |* | n² | = 13m*5*(- m ³)* n² = - 65m⁴n² .