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!
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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.
No, surds can never be negative.
Expressed as a surd, sqrt(90) is equal to 3 sqrt(10).
In America it is math, in most European countries it is maths
Yes, math is called maths in Welsh.