Question 681800
{{{sqrt(4 - 2 * sqrt(3)) + sqrt(12 - 6 * sqrt(3)) = 2}}}
{{{2sqrt(1 - 0.5sqrt(3)) + sqrt(12)*sqrt(1 - 0.5sqrt(3)) = 2}}}
{{{(2 + 2sqrt(3))*sqrt(1 - 0.5sqrt(3)) = 2}}}
{{{(1 + sqrt(3))*sqrt(1 - 0.5sqrt(3)) = 1}}}
Multiply by sqrt(1 + 0.5sqrt(3))
{{{(1 + sqrt(3))*sqrt(1 - 0.25*3) = sqrt(1 + 0.5sqrt(3))}}}
square both sides
{{{(1 + 3 + 2sqrt(3))*(0.25) = 1 + 0.5sqrt(3)}}}
{{{1 + 0.5sqrt(3) = 1 + 0.5sqrt(3)}}}
QED