Neophobia- the fear of novelty
Extreme fears are called phobias. Irrational fears are called irrational fears.
I honestly don't know but my counselor is deathly afraid
A racist. Psychologists use the term "self-hater" when describing a person who demonstrates feelings of animosity towards his own race. A xenophobe is generally thought to be anyone who has an irrational fear of foreigners, but in its broadest sense, xenophobia is the irrational fear of anything "foreign" -- that is, different, strange, or unfamiliar.
Phobias are an anxiety disorder in which someone's fear of something is extreme and irrational. The phobia of cockroaches is called katsaridaphobia.
I am completely unfamiliar with anything called the "wall of Sauron"... and that's saying something.
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.
Trypanophobia is the extreme and irrational fear of medical procedures involving injections or hypodermic needles. Also, the fear of vaccinations specifically is called vaccinophobia.
If you multiply two irrational numbers, the result can be rational, or irrational.
Hatred of Jews, regardless of whether or not it is irrational, is called Anti-Semitism.
liberty
Aquaphobia
There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.