Question

if x = 2 + 3root 2 then find the value of x - 1/x​

Answer 1

Answer:

( 39 + 12√2 ) / (2+3√2)

Step-by-step explanation:

Given,

x = 2 + 3√2

To find : x - 1/x

Answer :

By applying the value of x in the equation, we get,

(2+3√2) - 1/(2+3√2) =

On taking the LCM, we get,

= {(2+3√2)(2+3√2) - 1} / (2+3√2)

= {(4 + 6√2 + 6√2 + 36)-1} / (2+3√2)

= { 12√2 + 40 - 1 } / (2+3√2)

= ( 39 + 12√2 ) / (2+3√2)

Hence, our required answer =

= ( 39 + 12√2 ) / (2+3√2)