No because surds are Irrational Numbers
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That is a rational number. Any numbers that are not rational (irrational) are either repetitive such as 0.3333333.......... or are surds. Since this number is not one of them, it is a rational number.
How one understands surds depends on the person. If you would like to know what surds are, or have help understanding surds A surd is an unresolved radical, meaning that it is a root with the radical sign still on it. It is easier (and more accurate) to express it this way than writing it out for many numbers if the root is irrational. The concept of irrational numbers (which is what surds are, usually) can be confusing. In short, they are numbers that are not rational, that is, they cannot be written as a fraction. When using surds in math, you treat them just as you would a written out number.
Yes. A simple example: sqrt(2)*sqrt(2) = 2 This property is used to "simplify" (rationalise the denominator of) surds.
the limit does not exist
Irrational numbers