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Here’s one of the most common math questions my students ask: “What’s up with negative numbers and square roots on the GMAT?” Luckily, the answer doesn’t involve a lot of complex rules. In this quick article, I’ll lay out the issues surrounding square roots and negative numbers, and share everything you need to know to handle them confidently.

If you’ve been studying for a while, or if you’ve worked your way through Foundations of Math, you probably know that there’s a strange interaction between negative numbers and exponents. If you square a negative number, the result is positive. If you square a positive number, the result is also positive. Squaring a number makes the negative sign ‘go away.’ This is where the problem with square roots comes in.

Suppose you’re looking at an equation that looks like this: Read more