Верно ли равентство??? \sqrt16-6√7=√7-3

Question

Верно ли равентство??? \sqrt16-6√7=√7-3

Answer 1

√((√(16-6*√7)+√7)*3)=√((√(9-2*3*√7+7)+√7)*3)=√((√(3-√7)^2+√7)*3)=

=√((3-√7+√7)*3)=√3*3=√9=3