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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.).
Is the square of -8 a rational number?
The square of a negative number is always positive. The square of -8 = 64, a rational number
Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
Is the square of a rational number always greater than the number?
No.
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
If x is a rational number is square root of x always irrational?
No. If 'x' is a perfect square, then its square root is also rational.
Is the square of an irrational number always rational?
No. An example of this is pi.
Is the square root of a whole number always rational number?
No. More frequently it is not.
A short note on square root of rational number?
Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.
Is the square root of 85 a rational number?
No. The square root of an integer is always either an integer or an irrational number.
Is the square of 2 rational number?
Yes, the square of any rational number is also a rational number.The square root of 2 is not a rational number.
Is the square number of a whole number always a rational number?
Yes...because a whole number does not have an irrational part to it.
