examples, and problems from the community.

including olympiad champions, researchers, and professionals.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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Arm yourself with the tools to be the king or queen of heady mathematical debates, like the age old question of whether 0.999.... = 1.

\[\big(x^2\big)^3 =\, ?\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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by **Brilliant Staff**

If \(x^5 = 3\), then \[ (2x)^5 =\]

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by **Brilliant Staff**

If \(x = 5\), then \(\sqrt{x^2} = \)

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by **Brilliant Staff**

Which of the following is equal to \(2^{-3}\text{?}\)

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by **Brilliant Staff**

For which choices of \(a\) and \(b\) is the equation \[(ab)^\frac{1}{2} = a^\frac{1}{2}\cdot b^\frac{1}{2}\]

**not** true?

examples, and problems from the community.

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by **Brilliant Staff**

© Brilliant 2017

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