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[tex] \sqrt{(3-2 \sqrt{3} } ) ^{2} - 2 \sqrt{4-2 \sqrt{3} } +(-15) ^{0} [/tex]

Răspuns :

√(3-2√3)² - 2√(4-2√3)+( -15)⁰
√(3-2√3)² = 3-2√3
√(4-2√3) =√(4-√12)=√[4+√(16-12)]/2 -√[4-√(16-12)]/2 =
=√[4+√4)]/2 -√[4-√4)]/2 =
=√(4+2)/2 -√(4-2)/2 =
=√3 -1 
√(3-2√3)² - 2√(4-2√3)+( -15)⁰ =
=3-2√3 -2(√3 -1) +1 =
=3-2√3 -2√3 +2 +1 =
=6-4√3