Question

Помогите с примером!
(√12 + 2√27)²

Answer 1

$(sqrt{12} +2sqrt{27} )^2=(sqrt{4*3} +2sqrt{9*3} )^2=(2sqrt{3} +2*3sqrt{3} )^2=(2sqrt{3} +6sqrt{3} )^2=(8sqrt{3} )^2=64*3=192$

Answer 2

Ответ:

Пошаговое объяснение:

$[begin{gathered}left( {sqrt {12} + 2sqrt {27} } right)^2} = {left( {sqrt {12} } right)^2} + 2 cdot sqrt {12} cdot 2sqrt {27} + {left( {2sqrt {27} } right)^2} = 12 + 4 cdot sqrt {12} cdot sqrt {27}+108= hfill \12+72 + 108=boxed{192} hfill \ end{gathered} ]$