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.
phi = [1+sqrt(5)]/2 sqrt(5) is irrational and so phi is irrational.
It is an irrational number. Actually it is a rational number. Think 2/3=.6666666, 1/9=.11111111.
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
irrational
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give 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.
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
No, not always. For example, sqrt(2) is irrational (1.41421...), but sqrt(2)/sqrt(2) = 1. 1 is a rational number. Similarly, 2*sqrt(2) is irrational (2.82842...), but sqrt(2)/(2*sqrt(2)) = 1/2. 1/2 is a rational number.
5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
It is rational. It is a whole number so it cannot be irrational.
phi = [1+sqrt(5)]/2 sqrt(5) is irrational and so phi is irrational.
NO!!! Because 1.5 can be converted to a quotient ; 1 1/2 or 3/2 . Irrational number are those were the decimal goes to infinity and the decimal digits are in no particulr orderr. 'pi' is the classic axample at 3.141592.....
2/4 which is 1/2 simplified is a rational number
(root 2)/3
It is an irrational number. Actually it is a rational number. Think 2/3=.6666666, 1/9=.11111111.