Question

if p= 1/3-2root2, q = 1 /3 +2root2 fing pq(p+q)​

Answer 1

Answer:

-142/27

Step-by-step explanation:

Given, p = 1/3 - 2 root 2

q = 1/3 + 2 root 2

To find: pq(p + q)

pq = (1/3 - 2 root 2)(1/3 + 2 root 2)

= (1/3)^2 - (2 root 2)^2

= 1/9 - 8

= (1 -72)/9

= -71/8

p + q = 1/3 - 2 root 2 + 1/3 + 2 root 2

= 2/3

Therefore, pq(p + q) = -71/9 * 2/3

= -142/27

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