1. а) x^2 = 64
x = ±8
б) x^2 = 1/9
x = ±1/3
в) x^2 - 2 = 1
x^2 = 1 + 2
x^2 = 3
x = ±√3
г) 5 - x^2 = 5
x^2 = 5 - 5
x = 0
д) 3x^2 + 12 = 0
3x^2 = -12
x^2 = -4
нет решения, т.к x ≠ √-4
е) (x + 1/4)^2 = 9/16
x + 1/4 = 3/4
x = 2/4 = 1/2
2. √13-2x
а) √13-2*3 = √7 - имеет смысл
б) √13-2*0.5 = √12 - имеет смысл
в) √13-2*7 = √-1 - не имеет смысл
г) √13-2*(-4) = √21 - имеет смысл
3.а) (-√7)^2 = 7
б) -2√3 * √3 = √12 * √3 = √36 = ±6
в) (-3√5)^2 = 9 * 5 = 45
г) (√2/9)^2 = 2/81
1. а) √25*81 = 5 * 9 = 45
б) √0.49*16 = 0.7 * 4 = 2.8
в) √400*2.25 = 20*1.5 = 30
г) √(9/64) = 3/8
д) √3 6/25 = √81/25 = 9/5 = 1 4/5
е) √2 46/49 = √144/49 = 12/7 = 1 5/7
2. а) √12*√3 = √36 = 6
б) √7/√112 = √7*√112 / 112 = 28/112 = 7/28 = 1/4
в) √444/√111 = √444*√111 / 111 = 222/111 = 2
г) √(1/11) * √(11/13) * √(13/25) = √1*11*13 / √11*13*25 = √143 / √3575 =
√143 * √3575 / 3575 = 715/3575 = 1/5
д) √12*75 = √900 = 30
е) √4.9*0.9 = √4.41 = 2.1
3. а) √(2/7)^2 = √4/49 = 2/7
б) √(-1.9)^2 = 1.9
в) -0.3√33^2 = -0.3 * 33 = -9.9
г) √2^10 = √1024 = 32
д) √(-3)^4 = √81 = 9
е) √2^6 * 7^2 = √64*49 = √3136 = 56
4. а) √p^2 = √-p^2 = p
б) -2√0.25с^2 = √4 * 1/4 * c^2 = c
в) -3√x^2 = √9x^2 = 3x
г) 4√1/16 a^8 = √16 * 1/16 * a^8 = √a^8 = a^4