SOLUTION: Which is a irrational number the square root of 5, the square root, of 9, the square root of -1, or the square root of 2 thirds

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: Which is a irrational number the square root of 5, the square root, of 9, the square root of -1, or the square root of 2 thirds      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 186769: Which is a irrational number the square root of 5, the square root, of 9, the square root of -1, or the square root of 2 thirds
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%29 is irrational (since it CANNOT be written as a fraction of integers)


sqrt%289%29=3 which is rational since 3=3%2F1


sqrt%28-1%29=i which is complex (ie not real)


sqrt%282%2F3%29=sqrt%282%29%2Fsqrt%283%29=%28sqrt%282%29sqrt%283%29%29%2F%28sqrt%283%29sqrt%283%29%29=sqrt%286%29%2F3 is irrational as it can't be written as a fraction of 2 integers.