√(2-√3)+√(2+√3)
=√[(4-2√3)/2]+√[(4+2√3)/2]
=√[(3-2√3+1)/2]]+√[(3+2√3+1)/2]
=√[(√3-1)²/√2]+√[(√3+1)²/√2]
=[√6-√2+√6+√2]/2
=(2√6)/2
=√6
√(2-√3)+√(2+√3)
=√[(4-2√3)/2]+√[(4+2√3)/2]
=√[(3-2√3+1)/2]]+√[(3+2√3+1)/2]
=√[(√3-1)²/√2]+√[(√3+1)²/√2]
=[√6-√2+√6+√2]/2
=(2√6)/2
=√6