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

1.	If x = 2 + 3root 2 then find the value of x - 1/x
Answer» 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)

Answer»

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)

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