Question

Верное ли равенство?=2+

Answer 1

1) √(33+8√2) = √(1+4√2)² = 1+4√2
2) √(8+1+4√2)=√(9+4√2)=√(1+2√2)² = 1+2√2
3) 2(1+2√2)=2+4√2
4) √(4+2+4√2)=√(6+4√2)=√(2(3+2√2))=√2 * √(3+2√2)=
=√2 * √(1+√2)² = √2 * (1+√2)= 2+√2
Ответ: 2+√2