SOLUTION: WHICH OF THESE ARE IRRATIONAL NUMBERS 17/3,SQUARE ROOT OF 11, -1.82, OR 5.3WITH A LINE OVER THREE?

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: WHICH OF THESE ARE IRRATIONAL NUMBERS 17/3,SQUARE ROOT OF 11, -1.82, OR 5.3WITH A LINE OVER THREE?      Log On

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Question 98442: WHICH OF THESE ARE IRRATIONAL NUMBERS 17/3,SQUARE ROOT OF 11, -1.82, OR 5.3WITH A LINE OVER THREE?
Found 2 solutions by jim_thompson5910, mathslover:
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
17/3----> rational (can display as a ratio/fraction)

sqrt%2811%29----> irrational (cannot display as a ratio/fraction)

-1.82=-1%2682%2F100----> rational (can display as a ratio/fraction)

5.33333=5%261%2F3----> rational (can display as a ratio/fraction)


So the only irrational number of this list is sqrt%2811%29

Answer by mathslover(132) About Me  (Show Source):
You can put this solution on YOUR website!
Any number which cannot be expressed in the form a/b where b not equal to zero is a irrational number
the given numbers are
17/3 since its in the form of a/b with b!=0 hence rational
-1.82 = -182/100 again can be expressed in the form of a/b where b!=0
sqrt%2811%29 cannot be expressed in the form of a/b and is IRRATIONAL
5.3/3 = 53/10 can be expressed as a/b and is rational