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.
The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
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.
No. Square roots of whole numbers that don't result in whole numbers (e.g. the square root of 64 is 8), are considered to be "irrational numbers".
They are irrational numbers.
The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.
Only if the square root of the numerator and the square root of the denominator are both rational numbers.
Some square roots are rational but the majority are not.
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
They are NOT rational numbers, so the question is misguided.
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.).
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
Because numbers such as pi, e and the square root of 2 are not rational.
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.
Rational numbers:1, 2, 3, 4, 5, 6, 7, 8, 9, 10Irrational numbers:square root of (2)square root of (3)square root of (5)square root of (6)square root of (7)square root of (8)square root of (10)square root of (11)square root of (12)square root of (13)
square root of 9 = 3 but 2, 17 and 23 are irrational numbers