Question

$sqrt{5- 2sqrt{6} } + sqrt{5+ 2sqrt{6} }$

Answer 1

$= sqrt{ (sqrt{3}) ^{2}-2 sqrt{3} sqrt{2}+ (sqrt{2}) ^{2} } + sqrt{ (sqrt{3}) ^{2}+2 sqrt{3} sqrt{2}+ (sqrt{2} ) ^{2} }= sqrt{( sqrt{3} - sqrt{2} ) ^{2} }+ sqrt{ ( sqrt{3}+ sqrt{2} )^{2} } = sqrt{3}- sqrt{2} + sqrt{3} + sqrt{x2}=2 sqrt{3}$