1.
а) = 3√(²⁵/₁₆) -1 = 3*5 - 4 = 11/4 = 2,75
4 4
б) = √(2,5*10) = √25 =5
в) = √(72*0,01) = √9*√8*√0,01 = 3*0,1 =0,3
√8 √8
г) = √3⁴ * √2⁶ = 3² * 2³ = 9*8 =72
2.
а) =5*√16*√3 - 2*√25*√3 = 20√3 -10√3 =10√3
б) =3√2*√2 + √18*√2 = 3*2 +√36 = 6+6=12
в) = 16-8√5 +5 = 21-8√5
3.
а) =√(15² * 2) = √(225*2) = √450
б) = -√(8² * 3) = -√(64*3) = -√192
4. √(25-10a+a²) = √(5-a)² = |5-a|
|5-3.7|=1.3
5.
a) = √3(√3 -1) = √(3/2) = √1.5
√2(√3 -1)
б) = (√a -5)(√a+5) = √a - 5
√a +5
6. = 2(3√5 - 1) - 2(3√5+1) = 6√5 -2 -6√5 -2 = -4/44 = -1/11
(3√5)² - 1² 9*5 -1