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This can be taken as a trick question. The principal square root of 36 is 6. -6 times -6 is 36, so the negative square root of 36 is -6. So depending on the context of the question, 36 either has one square root, or two. Mathworld.com has a better explanation at http://mathworld.wolfram.com/SquareRoot.html I will not try to duplicate it here because of the use of math symbols.
In the "Where do trees go when one tree has a birthday" math problem, the answer is typically that they go to the "square root." This is a play on words, as the term "square root" refers to the mathematical operation of finding a number which, when multiplied by itself, gives the original number. In this context, it is used humorously to suggest that the trees go to the square root to celebrate the birthday of the tree.
Surds are based on roots. Root 8 can be split into root 4 and root 2; as there's a root to 4, get that number, and multiply it by the remaining root. So root 8 = 2 root 2. Root 40 would be 2 root 10 Root 48 would be root 4, root 4, root 3 Root 48 = 4 root 3.