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Which is the correct classification of StartRoot 18 EndRoot?
irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal


Sagot :

sr(18) = sr(9 x 2) = sr(9) x sr(2) = 3 x sr(2) = 4.24264068…
This is a non-repeating decimal and therefore irrational (not able to be written as a fraction)

Every terminating decimal can be written as a fraction ie is rational. Example: 0.341 = 341/1000
Every repeating decimal can also be written as a fraction. Example 0.343434… = 34/99