0
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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Are squares of irrational numbers always rational?
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).
Can the rational zero test be used to find irrational roots as well as rational roots?
Rational zero test cannot be used to find irrational roots as well as rational roots.
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.
How do you Represent irrational number on number line?
The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.
Is 0 a rational or irrational number?
Zero (0) is a rational number, because it is a whole number and an integer.
