Question

Simplify 2(1+√3)² + (1+√3) + 1​

Answer 1

= 5(2 + √3)

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)