Question

8. If x = 2√3+ 2√2. find :

(ii) 1/x​

Answer 1

Answer:

Given x = 3+2√2

x + 1/x

= 3+2√2+1/3+2√2

= 3+2√2+3-2√2/3+2√2 (3-2√2)

= 3+2√2+3-2√2/3² - (2√3)²

= 3+2√2+3-2√2/9-8

= 3+2√2+3-2√2

= 6 which can be written in p/q fro. (6/1)

Therefore it's a rational number.