Question

If p=3+2√2 find the values of p+1/p​

Answer 1

Answer: 1,71572875

Step-by-step explanation: (4+2rad2)/3+2rad2

Answer 2

6

Explanation:

1/p = 1/(3 + 2sqrt2)

Multiplying by the conjugate (which you should pretty much always do to simplify), we get

(3-2sqrt2)/((3+2srqt)(3-2sqrt2))

which is

(3-2sqrt2)/(9-8) = 3-2sqrt2.

Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6