Question

If x = √3+1/2 find 4x 3 + 2x 2 + 8x + 7

Answer 1

x = (√3 + 1)/2

So  4 (3√3 + 1 + 3 *3*1 + 3 *√3* 1)/2³ + 2 (3+ 1+ 2 √3) / 2² + 8 (√3 +1) /2 + 7

=(5 + 3 √3) + (2 + √3) + 4 + 4√3  + 7

= 8 √3 + 18