Question

if x=3+2√2, find the value of (x-1/x)^3​

Answer 1

Step-by-step explanation:

See the attachment

Question will be clear

Answer 2

Answer:

(x-1/x)^3​ = 128√2

Step-by-step explanation:

x = 3+2√2

1/x = 1 / (3+2√2)

1/x = (3-2√2)/( [3+2√2]*[3-2√2] ) (Since Rationalization)

1/x = (3-2√2)/9-8

1/x = (3-2√2)

So (x-1/x)^3​

=> ( 3+2√2 - ( 3 - 2√2)^3

=>(3+2√2-3+2√2)^3

=>(4√2)^3

=>64*2√2

=>128√2

Hope helps you