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I wouldn't think so, because no two rational numbers will give you a whole number that's not a perfect square. For example: the square root of 15 (a non-perfect square) is 3.87298334 …. This isn't a rational number.
Rational decimals have patterns. (for ex: 0.33333... or 0.57575757)
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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 all square roots rational numbers?
No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.
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 32 a rational number?
No, because 32 is not a perfect square.
Is the square root of a15 a rational number?
No, because 15 is not a perfect square. The closest perfect square is 16, whose square root is 4.
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.
