Yes.
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Because 3 is a prime number and as such its square root is irrational
No, it is an irrational number.
Yes. It would be 21/2 * 91/2, or "three root two". Root two is an irrational number, so it's products - such as root 18, will be as well.
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
It is a irrational number. Because the square root of every imperfect square is irrational number.