The square root of 0 = 0.
Rational is defined as a value that can be expressed as a quotient of integers.
For example, 0/1 = 0 and 0/2 = 0. Although 0/0 is undefined, the former examples are still true. Therefore, the square root of 0 is rational.
For your knowledge, the square root of any number is rational, except for negative numbers, which are irrational. This is because two identical integers cannot be multiplied to produce a negative integer.
For instance, the square root of 25 is 5 because 5x5 = 25.
However, the square root of -25 has no real roots because neither -5x-5 nor 5x5 = -25.
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No. The cube root of 3, for example is irrational. But the square of cubert(3) is 3 to the power 2/3, which is irrational. Another example, pi2 is irrational (in fact so is pi to any non-zero power).
Rational zero test cannot be used to find irrational roots as well as rational roots.
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.
The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.
Zero (0) is a rational number, because it is a whole number and an integer.