Question

Докажите,что

3-2√2=√17-12√2

Answer 1

$sqrt{17-12 sqrt{2} } = sqrt{3^2-2cdot3cdot2 sqrt{2}+( 2sqrt{2})^2 } = \ = sqrt{(3- 2sqrt{2})^2 } =|3- 2sqrt{2}|=3- 2sqrt{2}$