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It depends on what your aims are. If you do not envisage using mathematics (except for day-to-day calculations) then one assumes you do not seek employment in engineering, still less are you concerned with mathematical theorems. In this case, surds won't be of much use to you, and thus you will not have an interest in this area.

However, in terms of following a mathematical education through to year 10, surds are an essential element in understanding the square root system and, more broadly, the number system.

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Q: What is the point of learning 'surds' in maths?
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