Question

if x=5+2√6 find the value of (x+1/x)^2 ?

Answer 1

Answer:

x=5-2√6

Then 1/x=5+2√6. ( by rationalization)

(5-2√6)²+(5+2√6)²

25+24-20√6+ 25+ 24+20√6

25+24+25+24

50+48

98 is your answer