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Okay, this is the rule for dividing surds:
sqrt (a)
______
sqrt (b) = sqrt (a/b)
so for example you had
sqrt 3
_____
sqrt 21 = sqrt (3/21) = sqrt (7)
more complicated...
3 sqrt(3)
________
4 sqrt(21) = 3/4 sqrt (3/21) = 3/4 sqrt (7)
It's pretty easy as long as you can remember the rule. I hope that helps. XD
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Who created maths surds?
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!
Can a surd be negative?
No, surds can never be negative.
What is the square root of 90 in surds?
Expressed as a surd, sqrt(90) is equal to 3 sqrt(10).
What is the point of learning 'surds' in maths?
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.
Is the square root of 2 and square root of 6 similar surds?
sqrt 6 = sqrt 2 x sqrt 3
