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I - square root of negative 15 is not a perfect square. therefore, it is irrational.
L - 7/8 is rational because it is a fraction.
O - 24.5 is rational because it can be written as a fraction.
V - 5/12 is rational because it is a fraction.
E - 289 is rational because it is a whole number.
M - square root of 25 is rational because its answer is a whole number/
A - It is rational because it is a fraction (I'm not sure)
T - It is irrational because the square root of negative 21 is irrational
H - It is irrational because its decimal value is non-terminating