Answer:
Below.
Step-by-step explanation:
x = 5 - 2√6
(i) 1/ x = 1 / 5 - 2√6 Multiply top and bottom by (5 + 2√6)
= (5 + 2√6) / (5 - 2√6)(5 + 2√6)
= (5 +2√6)(25 - 24)
= (5 + 2√6).
(ii) x - 1/x = 5 - 2√6 - (5 + 2√6
= - 4√6.
(iii) x + 1/x = 5 - 2√6 + (5 + 2√6)
= 10.
