Question

If x = 2 + √5 find the value of x+1/x​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

2√5

Step-by-step explanation:

x = 2+√5

x+1/x = 2+√5 + 1/(2+√5)

= ((2+√5)(2+√5) + 1)/(2+√5)

= (4+2√5+2√5+5+1)/(2+√5)

= (10+4√5)/(2+√5)

= (10+4√5)/(2+√5) * (2-√5)/(2-√5)

= (10+4√5)(2-√5)/(4-5)

= (20-10√5+8√5-20)/-1

= (-2√5)/-1

= 2√5.