Question

If q=√5+2 then find q+1/q

Answer 1

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