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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Whoever it was who discovered that if you had a square whose sides were one unit long, the lengths of its diagonals were sqrt(2) - surds!
A math learning website for Australians.
No, surds can never be negative.
General math is maths that includes; statistics, business maths, trigonometry, etc. General maths is the more applicable math in everyday life situations, as opposed to learning vectors or quartic graphs.
Expressed as a surd, sqrt(90) is equal to 3 sqrt(10).