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What is a rational number multiplied by an irrational number equal?
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.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Is -34 both rational and irrational?
-34 is a rational number
Why is 3 square root of 2 is irrational?
sqrt(2) is irrational. 3 is rational. The product of an irrational and a non-zero rational is irrational. A more fundamental proof would follow the lines of the proof that sqrt(2) is irrational.
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
What is a rational number multiplied by an irrational number equal?
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.
How can you turn an irrational number into a rational number?
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
Is the square root of a number rational or irrational?
that depends on the number. sqrt(2) is irrational, sqrt(4)=2 is rational
Is the product of any two irrational numbers is an irrational?
No. The product of sqrt(2) and sqrt(2) is 2, a rational number. Consider surds of the form a+sqrt(b) where a and b are rational but sqrt(b) is irrational. The surd has a conjugate pair which is a - sqrt(b). Both these are irrational, but their product is a2 - b, which is rational.
Is every square root an irrational number?
No. Sqrt(4) = 2, sqrt(0.04) = 0.2 are examples where the square roots are rational. Sqrt(3) is irrational Sqrt(-3) is neither rational nor irrational but imaginary.
Do two irrational numbers divided ever make a rational?
Yes. Sqrt(8) and sqrt(2) are both irrational. sqrt(8)/sqrt(2) = sqrt(8/2) = sqrt(4) = 2 is rational.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is -34 both rational and irrational?
-34 is a rational number
Can the sum of two irrational numbers be rational if give an example if not explain why not?
1 + sqrt(2) is irrational 1 - sqrt(2) is irrational. Their sum is 2 = 2/1 which is rational.
