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.
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.
No. sqrt(2)/pi is not rational.
Rational
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [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.
It is equal to 21/2 which is a rational number
The result would be 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.
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.
It is rational. It is a whole number so it cannot be irrational.
No. sqrt(2)/pi is not rational.
5.4 = 5 2/5 = 27/5 so it is a rational number.
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
It is rational