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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.).
What The product of two rational numbers?
It is a rational number.
What is 23.7 an integer a whole number a rational number or all of the above?
It is a rational number but not either of the other two.
Is 89.396668... irrational or rational?
The number 89.396668... is rational because it can be expressed as a fraction of two integers. A rational number is any number that can be written as the ratio of two integers, where the denominator is not zero. In this case, the number can be written as 8933/100, which is a ratio of two integers.
If x is rational and y is rational then xy is rational?
Yes, the product of two rational numbers is always a rational number.
