Question

If x=(4 - root 15), find the value of x +
1/x)​

Answer 1

Step-by-step explanation:

Given : x=(4 -√15)

Then, x + 1/x

=> (4 -√15) + 1/(4 -√15)         (take LCM)

=> ((4 -√15)² + 1) / (4 -√15)

=> (4²+15 - 8√15 + 1) / (4 -√15)

=> (16 + 16 - 8√15) / (4 -√15)

=> (32 - 8√15) / (4 -√15)

( Further simplification will lead to rational number!)

I hope you get it...