A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.
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It is irrational, just like pi
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
0.6 is NOT irrational However, pi = 3.141592.... is Irrational. When miultiplied together , the answer is IRRATIONAL 0.6 X 3.141592.... = 1.884955592....
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
Johann Lambert proved that pi is irrational in 1761.