Rational
5, -7.986543, 37/91, sqrt(64), 193 are all rational. sqrt(2), pi, e, cuberoot(32) are all irrational.
If it ends there, it is rational. If it continues with the same digit (2 in this case) over and over, it is also rational.
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
It is rational
Rational
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
It is equal to 21/2 which is a rational number
Rational (-1.5) Since it can be expressed as a fraction.
5, -7.986543, 37/91, sqrt(64), 193 are all rational. sqrt(2), pi, e, cuberoot(32) are all irrational.
2/9 is rational by definition- it is a ratio of two integers.
If it ends there, it is rational. If it continues with the same digit (2 in this case) over and over, it is also rational.
The result would be an irrational number
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
14/2 = 7 and is therefore both an integer and rational.
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.