Question

Dane są liczby: x=8v2 - 5 y=3v2+4 Oblicz:
x+y
x-y
x·y
x÷y
x do potęgi 2
y do potęgi 2

b) Oblicz:
11v2 + 3v11 =
Daje naj !!!

Answer 1

X  = 8√2 - 5 , y = 3√2 + 4
x + y = 8√2 - 5 + 3√2 + 4 = 11√2 - 1
x - y = 8√2 - 5 - 3√2 - 4 = 5√2 - 9
x * y = (8√2 - 5)(3√2 + 4) = 24 * 2 -  15√2 + 32√2 - 20 = 48 + 17√2 - 20 =
= 28 + 17√2
x : y = (8√2 - 5)/(3√2 + 4) = (8√2 - 5)(3√2 - 4)/(3√2 + 4)(3√2 - 4) = 
= (48 - 15√2 - 32√2 + 20)/(18 - 16) = (68 - 47√2)/2