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Is the square root of any composite numbers rational?
Yes, of some; the square root of any perfect square is rational - for example, the square root of 4, of 9, of 16, etc.On the other hand, if your "composite number" is not a perfect square, then its square root is irrational.
Will the square root of a prime number be rational or irrational?
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
Is the square root of 18 a rational or irrational number?
The square root of 18 is an irrational number because it cannot be expressed as a fraction.
Is the square root of 16 a rational number or irrational number?
The square root of 16 is 4 which is a rational number
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.
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
What does the mathematical term perfect square mean?
The mathematical term 'perfect square' means that a number, which has a rational number as its square root. 25 is a perfect square, because its square root is 5, a rational number.
How can you tell whether a square root of a whole number is rational or irrational?
If the whole number is a perfect square, its square root is rational. If not, it's not.
A rational number whose square root is a whole number?
A perfect square.
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.
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
Is the square root of a positive number an irrational number?
Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).
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 91 rational?
The square root of 91 is not a rational number. A rational number can be expressed as the quotient of two integers, but since 91 is not a perfect square, its square root cannot be expressed as a simple fraction. Therefore, the square root of 91 is an irrational number.
Is the square root of 32 a rational number?
No, because 32 is not a perfect square.
Is the square root of a irrational number always rational?
No, the square root of an irrational number is not always rational. In fact, the square root of an irrational number is typically also irrational. For example, the square root of 2, which is an irrational number, is itself irrational. However, there are exceptions, such as the square root of a perfect square of an irrational number, which can be rational.
