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I'd like to bring your attention to this easy geometry problem that I call "The Green Zone Problem". Let's suppose there is an imaginary city in the Middle-earth ...

I am interested in holding an Integration Contest here on Brilliant.org like any other online forums such as AoPS or Integrals and Series. The aims of the Integration Contest ...

Consider the following equation \[ 1+\sqrt{2}+\sqrt{3}+\sqrt{6}=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}} \] where \(\large\color{blue}{a,b,c,d}\) are integers. Find ...

There are \(10\) identical balls of each colour, black and white, evenly mixed in the urn. If I randomly take \(3\) balls at once without looking, what is the probability ...

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