Решение
1) (7 + √7)/3√7 = [(7 + √7)*√7] /[3√7*√7] = (7√7 + 7) / 21 = (√7 + 1) / 3
2) (c² - 2)/(c - √2) = [c - (√2)²] / (c - √2) = [(c - √2) * (c + √2)] / (c - √2) =
= c + √2
3) 12/7√6 = (12*√6) / (7*√6*√6) = (12√6)/(7 * 6) = 2√6/7
4) 5 / (√13 + √3) = [5* (√13 - √3)] / [ (√13 + √3) * (√13 - √3)] =
= [5* (√13 - √3)] / (13 - 3) = [5* (√13 - √3)] / 10 = (√13 - √3) / 2
1) х(а-2)=(а-2)(а+2)
х=(а-2)(а+2)/(а-2)
x=(a+2)
2) х(с-d)=5(c-d)
x=5(c-d)/(c-d)
x=5
3) x(a-b)=(a-b)(a+b)
x=(a-b)(a+b)/(a-b)
x=(a+b)
3х+0,2х-6=0
3,2х-6=0
3,2х=6 | : 3,2
х=1,875
(a*b)^2=a^2*b^2
1/5^2*sqrt(10)^2=1/25*10=10/25=2/5=0,4
1/2√8 ? 1/5√100
(1/2√8)^2 ? (1/5√100)^2
1/4×8 ? 1/25×100
0,25×8 ? 0,04×100
2 < 4
1/2√8 < 1/5√100