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Is the square root of any composite numbers 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.
What rational number is closest to the square root of 61.93?
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
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 7 rational?
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".
Is the square root of 0.82 rational irrational or not a real number?
They are irrational numbers.
