Question

Classify \(\frac{\sqrt{25}}{3}\).

a. Integer

b. Rational number

c. Irrational number

d. Whole number

Answer 1

b. Rational number

The expression
`\((√(25))/(3)\)`simplifies to,
`\((5)/(3)\),` demonstrating that it is a rational number since it can be expressed as the ratio of two integers. In this case, 5 and 3 are both integers, meeting the criteria for rationality.

Step-by-step explanation:

The given expression
`\((√(25))/(3)\)` can be simplified as
`\((5)/(3)\).`This is a rational number because it can be expressed as the ratio of two integers, where the numerator (5) and denominator (3) are both integers and the denominator is not zero.

Rational numbers include integers, and in this case, the numerator and denominator are both whole numbers. The square root of 25 is 5, which is an integer, and when divided by 3, we get a fraction that is rational. Therefore, the given expression is a rational number.

In summary, the expression
`\((√(25))/(3)\)` simplifies to
`\((5)/(3)\),` making it a rational number. Rational numbers are those that can be expressed as a ratio of two integers, and in this case, both the numerator and denominator are integers, fulfilling the criteria for rationality.