Question

if x=1/3-2√2 and y= 1/3+2√2 then find x+y + xy​

Answer 1

Answer:

$- 7 \times \frac{2}{9}$

Step-by-step explanation:

x+y = 1/3-2√2 + 1/3+2√2

x+y = 1/3+1/3

x+y = 2/3

now xy = 1/3-2√2 × 1/3+2√2

from (a-b)(a+b) = a^2-b^2

xy = (1/3)^2 - (2√2)^2

xy = 1/9 - 8

xy = -71/9

therefore,

x+y + xy = 2/3 + -71/9

x+y + xy = 2/3 - 71/9

x+y + xy = (6-71)/9

x+y + xy = -65/9