Question

$sqrt{1+2* sqrt{3}+3 } - sqrt{4-2 sqrt{3} }$  упростите

Answer 1

$sqrt{1+2 sqrt{3}+3 } - sqrt{4-2 sqrt{3} } = sqrt{(1+ sqrt{3})^2 } - sqrt{(1- sqrt{3})^2 } = \ = |1+ sqrt{3}| - |1- sqrt{3}|= 1+ sqrt{3} - sqrt{3}+1=2$