[(√3+2a)²-(a+2√3)²]²=
=[(√3+2a-a-2√3)(√3+2a+a+2√3)]²=
=[(a-√3)(3√3+3a)]²=
=[3(a-√3)(√3+a)]²=
=[3(a²-3)]²=9(a²-3)²
[3+√(3+√3)]²+[3-√(3+√3)]²=
=9+6√(3+√3)+3+√3+9-6√(3+√3)+3+√3=
=9+3+√3+9+3+√3=
=24+2√3=
=2(12+√3)
(3√2-2√3)²:(3√2+2√3)²=
=(18-12√6+12):(18+12√6+12)=
=(30-12√6)(30+12√6)=900-864=36
(2-√3)²⁰⁰⁶ * (7+4√3)¹⁰⁰⁶=
=[(2-√3)²]¹⁰⁰⁶ * (7+4√3)¹⁰⁰⁶=
=(4-4√3+3)¹⁰⁰⁶ * (7+4√3)¹⁰⁰⁶=
=(7-4√3)¹⁰⁰⁶ * (7+4√3)¹⁰⁰⁶=
=(49-48)¹⁰⁰⁶=1
