https://r2.erweima.ai/mathbot/image/1726341999203glcdxjr7.jpg

The statement in the image says:

\[
\frac{\sqrt{16}}{3} \text{ no pertenece a los números } \mathbb{Q}
\]

Which means: "Does \(\frac{\sqrt{16}}{3}\) not belong to the set of rational numbers (\(\mathbb{Q}\))?"

To determine this, we calculate:

1. \(\sqrt{16} = 4\), because \(4^2 = 16\).
2. So, \(\frac{\sqrt{16}}{3} = \frac{4}{3}\).

The fraction \(\frac{4}{3}\) is a rational number because it can be expressed as the ratio of two integers (4 and 3).

Therefore, the statement that \(\frac{\sqrt{16}}{3}\) does not belong to the rational numbers is **false**.

Would you like more details or have any questions?

Here are five related questions to consider:

1. What defines a rational number?
2. How do you identify if a square root results in a rational or irrational number?
3. Can all fractions with integers be considered rational numbers?
4. What are some examples of irrational numbers?
5. How do you express a repeating decimal as a fraction?

**Tip:** A number is rational if it can be expressed as the ratio of two integers, where the denominator is not zero.

√(16)/3 no pertenece a los números Q (¿Verdadero o Falso?)

Find out if √(16)/3 is a rational number by using basic arithmetic and rational number properties. Suitable for Grades 7-9, this problem covers square roots and fraction concepts.

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