No
It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.
The square root of 80 is not a rational number. When simplified, it becomes ( \sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5} ). Since ( \sqrt{5} ) is an irrational number, ( 4\sqrt{5} ) is also irrational. Therefore, ( \sqrt{80} ) is not rational.
Sqrt(18/2) =Sqrt(9) =3 which is rational.
No. sqrt(2)/pi is not rational.
Yes
It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
that depends on the number. sqrt(2) is irrational, sqrt(4)=2 is rational
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
The square root of 80 is not a rational number. When simplified, it becomes ( \sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5} ). Since ( \sqrt{5} ) is an irrational number, ( 4\sqrt{5} ) is also irrational. Therefore, ( \sqrt{80} ) is not rational.
Sqrt(18/2) =Sqrt(9) =3 which is rational.
No. sqrt(2)/pi is not rational.
Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.
Sqrt(25) is -5 or +5, both of which are rational.
Yes
sqrt(2) / x is rational only if x is a multiple of sqrt(2). sqrt(2/x) is rational only if x is two times the square of some number (not necessarily a whole number).
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.