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When you encounter expressions with square roots that have the same radicand, you can simply combine their coefficients. Here, \( 2 \sqrt{7} + 3 \sqrt{7} \) gives you \( (2 + 3) \sqrt{7} \), simplifying to \( 5 \sqrt{7} \). It's like gathering your apples and oranges; you can only sum similar fruits! In the real world, this kind of simplification is essential in fields like engineering or physics, where calculations involving square roots often appear. Imagine you're calculating the length of the sides of a triangular beam; knowing how to quickly combine terms like this helps streamline your design process and make accurate assessments much faster!
