Roots that are irrational are called surds.
There are Irrational Numbers that are not surds since they are not roots of any equation.
For example, Pi.
Rational roots, such as square root of 4, are not surds.
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No. For example take π and π-3 the difference of these 2 irrationals is 3.
Surds are normally irrational numbers.
Irrational number are NOT called surds. For example, pi is irrational but it is not a surd.Surds are a very small subset of irrational numbers.
Infinitely many. In fact, the number of irrationals in any interval - no matter how small - is infinite. Furthermore, the cardinality of the set of irrationals in any interval is greater than the cardinality of rational numbers in total!
A surd is a square root which cannot be reduced to a whole number: however you need to be able to simplify them.