Question

Which number is irrational?

A) 0.46
B) √ 100/3
C) √ 8
D) 0.88888 (Decimal is repeating)

Answer 1

irratioinal numbers cannot be written a a fraction as in
a/b where b is not equal 0

irrational numbers also cannot be simplified with a vinculum
0.46 is not repeating so thi is not irrational

√(100/3) =√33.333333=5.7735 so this might be irrational

√8=2√2 we know that √2 is irrational so therefor rational times irrational=irraational so this is irratnail

0.88888 has vinculum since it repeats forever

answer is √8 C

Answer 2

An Irrational Number is one which cannot be put into rational form (i.e. a fraction)

Pretty much, any decimal that is not in any particular order is irrational. Of this list, √ 8 is the only one that generates a non-repeating decimal, so that is your irrational number.
Hope that helped =)