Question

Simplyfy (3-root 3)^2+(root3-3)^2

Answer 1

$( {3 - \sqrt{3} })^{2} + ( { \sqrt{3} - 3})^{2} \\ = {3}^{2} + ( { \sqrt{3} })^{2} - 2.3. \sqrt{3} + ( { \sqrt{3} })^{2} + {3}^{2} - 2. \sqrt{3} .3 \\ = 9 + 3 - 6 \sqrt{3} + 3 + 9 - 6 \sqrt{3} \\ = 24 - 12 \sqrt{3}$