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.
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
irrational
Yes, the square root of 2 is an irrational number.
It can't be expressed as a whole number. The square root of two is irrational, and the product of an irrational number and a rational number is also irrational. So 8*sqrt(2) is irrational.
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.
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.
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.
Any irrational number, added to 0.4 will give an irrational number.
irrational
Yes, the square root of 2 is an irrational number.
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
Any irrational number will, eg √2, π, e.