Simplify 2 (1+√3) ² + (1+√3) + 1

= 5 (2 + √3)

Step-by-step explanation:

2 (1 + √3) ² + (1 + √3) + 1 =

= 2 (1 + 2√3 + 3) + 1 + √3 + 1

= 2 + 4√3 + 6 + 1 + √3 + 1

= (2 + 6 + 2) + √3 (4 + 1)

= 10 + 5√3

= 5 (2 + √3)