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If x is rational and y is rational then xy is rational?
Yes, the product of two rational numbers is always a rational number.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
Why the sum difference and product of 2 rational numbers rational?
A rational number is one that can be expressed as a/b The sum of two rational numbers is: a/b + c/d =ad/bd + bc/bd =(ad+bc)/bd =e/f which is rational The difference of two rational numbers is: a/b - c/d =ab/bd - bc/bd =(ab-bc)/bd =e/f which is rational The product of two rational numbers is: (a/b)(c/d) =ac/bd =e/f which is rational
Is The product of two rational numbers always a rational number?
Yes, that's true.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
What is true about the product of two rational numbers?
It will be rational.
What are the product of two rational numbers?
The product will also be a rational number
What are two product of rational numbers?
Another rational number.
What is the classification of the product of two rational numbers?
rational
The product of two rational numbers is always rational?
Yes.
Is the sum or product of two rational numbers is rational?
Yes, it is.
Is the product of two rational numbers always rational?
Yes, it is.
What s happens when rational numbers are multplied?
The product of two rational numbers is always a rational number.
Is it sometimes true when the product of Two rational numbers are rational?
No, it is always true.
What product is true about the irrational and rational numbers?
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
Why is the product of two rational number irrational?
The question is nonsense because the product of two rational numbers is never irrational.
