Question

If q=√5+2 then find q+1/q

Answer 1

Answer:

Step-by-step explanation:

Givens

q + 1/q

q = √5  +  2

Solution

√5 + 2  +  1/(√5 + 2)                      Rationalize the denominator, 2nd term

√5 + 2 + (√5 - 2) / ( (√5+2)(5 - 2) )

√5 + 2 + (√5 - 2) / (5 - 4)                Simplify the denominator of term 2

√5 + 2 + (√5 - 2) / 1

2√5    <<<<<< Answer