Question

If a= 3-2√2, then value of a^2 + (1/a)^2 is​

Answer 1

Answer:

Hope it will help you!.......

Answer 2

Answer:

34

Step-by-step explanation:

a = 3-2$\sqrt{2$

⇒ 1/a = 1 / 3-2√2  = 3+2√2 / (3+2√2) (3-2√2)

                             = 3+2√2/ 9-8

                             = 3+2√2.........................

⇒ a + 1/a = 3-2√2 + 3+ 2√2 = 6   ............

⇒ (a + 1/a)^2 = 6^2 = 36  .............

i.e a^2 + 2 × a × 1/a + (1/a)^2 = 36 .....

∴ a^2 + (1/a^2) = 36 - 2 = 34 ...........

HOPE IT HELPS !