Question

Se √3+√x+1=3 , então x vale ?

Answer 1

$\sqrt{3} + \sqrt{x} + 1 = 3 \\ \sqrt{x} = 3 - 1 - \sqrt{3} \\ \sqrt{x} = 2 - \sqrt{3} \\ { (\sqrt{x} )}^{2} = {(2 - \sqrt{3}) }^{2} \\ x = {2}^{2} - 2.2 \sqrt{3} + {( \sqrt{3} )}^{2} \\ x = 4 - 4 \sqrt{ 3} + 3 \\ x = 7 - 4 \sqrt{3}$