Question

if x = 3 + 2 root 2 find (x - 1/x) power 3

Answer 1

Answer:

128 √2

Step-by-step explanation:

Given x = 3+2√2 => 1/x = 3-2√2

x-1/x = 3+2√2-3+2√2 = 4√2

(x-1/x)^3

= (4√2)^3

= 4^3 (√2)^3

= 64 (2√2)

= 128 √2

Therefore (x-1/x)^3 = 128√2