Question

Classify the following number as rational or irrational. 3 root 18

Answer 1

Answer:

$\sqrt{18}$

Answer 2

Answer:

irrational

Step-by-step explanation:

• A real number that cannot be written as a ratio of integers, such as p/q, where p and q are both integers and q 0, is said to be irrational. It is a decimal that doesn't end or repeat.
• Ordinarily, irrational numbers are denoted as RQ, where the backward slash symbol stands for "set minus." The difference between a set of real numbers and a set of rational numbers can alternatively be written as R - Q.
• A rational number is a real number that may be stated as an integer ratio as well as a fraction or decimal. A repeating or terminating decimal is what it is.
• Given: 3√18
• 3√18 = 9√2
• Since an irrational number is always produced when a rational number is multiplied by an irrational number.
• 3√18 is therefore an irrational number.

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