If x = 3-2√2, then find the value of x2 - 1/x2

Answer: - 24√2

Step-by-step explanation: i did the math this is what i got

Hello there!

x^2 - (1/x^2)

x = 3 - 2√2 - - (1)

1/x = 1 / (3-2√2)

= (3 + 2√2) / (3 - 2√2) (3+2√2)

= (3 + 2√2) / 3² - (2√2) ²

3^2 = 9 and 2√2 ² = 8

= (3 + 2√2) / (9 - 8)

= (3 + 2√2) - - (2)

x - 1/x = 3 - 2√2 - (3 + 2√2)

= 6

= 3 - 2√2 - 3 - 2√2

= - 4√2

x² - 1/x² = (x + 1/x) (x - 1/x)

= 6 * ( - 4√2)

6 x (-4√2) = - 24√2