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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.
Are all square roots rational numbers?
No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.
Is the square root of 16 a rational number or irrational number?
The square root of 16 is 4 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 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.
