Answer:
19/5: rational
Square root of 12: irrational
Square root of 49: rational
0.3425563758...: irrational
Square root of 4/25: rational
Square root of 1/8: irrational
0.6666666666...: rational
Step-by-step explanation:
The most common difference between irrational and rational numbers is that you cannot represent an irrational number with a fraction. This means there is infinite non-repeating numbers to the right of the decimal point.
19/5 is already a fraction
Square root of 12 is a cluster of numbers that cannot be represented with a fraction
Square root of 49 is 7, which is perfectly representable with a fraction, but most people don't bother.
0.3425563758 is another cluster of numbers.
Square root of 4/25 is 0.4, which can be viewed of 2/5.
Square root of 1/8 is just another cluster of numbers.
0.666666666666666666 is a repeating decimal, and is equal to 2/3.
Hope this helps!
