Question

If x = 3+2√2, find x+1/x​

Answer 1

Answer:

x = 3 + 2√2 (Given) 1/x = 1/3 + 2√2 Rationalization of 1/x 1*3 - 2√2 / 3 + 2√2 * 3 - 2√2 = 3 - 2√2 So, now we know that x = 3 + 2√2 1/x = 3 - 2√2 x + 1/x = 3 + 2√2 + 3 - 2√2 = 3 + 3 =6