View Single Post
2020-10-22, 07:43   #5
LaurV
Romulan Interpreter

Jun 2011
Thailand

52×7×53 Posts

Quote:
 Originally Posted by petrw1 (√√7! + √√7!) * (√(√7! + (√7!)/7!)) = 142
Let $$\alpha=\sqrt{7!}$$. You have $$2\sqrt\alpha\cdot\sqrt{\alpha+\frac{\alpha}{\alpha^2}}$$. Which, when multiply the radicals and simplify the fraction under it, becomes $$2\sqrt{\alpha^2+1}$$. Now substitute back the $$\alpha$$, you have $$2\sqrt{7!+1}$$, or $$2\sqrt{5041}$$, which is 2*71.