Question

X equal root under 7 + 4 into root 3

Answer 1

$x = \sqrt{7 + 4 \sqrt{3} } \\ x = \sqrt{7 + 2 \sqrt{12 } } \\ x = \sqrt{4 + 3 + 2 \sqrt{4 \times 3 } } \\ x = \sqrt{ { \sqrt{4} }^{2} + { \sqrt{3} }^{2} + 2 \sqrt{4 \times 3 } } \\ x = \sqrt{ {( \sqrt{4} + \sqrt{3)} }^{2} } \\ x = ( \sqrt{4} + \sqrt{3} ) \\ x = 2 + \sqrt{3}$