Show that root 4 is rational by doing the process.
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Answer:
Is √4 a rational number or irrational number?
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Rational.
A number is rational if and only if it can be expressed as a fraction where the numerator and denominator are both integers. For example, .3333333… is rational because it can be expressed by the fraction 1/3. Note that any integer can simply be expressed as itself/1; therefore, all integers are rational number.
The most commonly used irrational numbers are roots, such as √2. However, not all roots are irrational. Integers that are perfect squares can have their square root cleanly taken. √4 = 2 because 2^2 = 4. 2 is an integer and thus a rational number. Thus, we conclude that √4, being the same as 2, is also rational.
Step-by-step explanation:
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