Which of the following is rational?(1 point)

Question

Responses

3–√+3–√
Start Root 3 End Root plus Start Root 3 End Root

3–√ ×3–√
Start Root 3 End Root times Start Root 3 End Root

3√1
Start Fraction Start Root 3 End Root over 1 End Fraction

13√

Answer 1

To determine which of the given expressions is rational, let's simplify each option:

1. √3 + √3: This simplifies to \(2\sqrt{3}\), which is not a rational number since \(\sqrt{3}\) is irrational.

2. √3 × √3: This simplifies to \(\sqrt{3} \times \sqrt{3} = 3\). This is a rational number since it is an integer.

3. √3/1: This is simply \(\sqrt{3}\), which is not a rational number.

4. 13√: This option seems ambiguous but assuming it means \(13\sqrt{3}\). This is also not a rational number since it has \(\sqrt{3}\) in it.

From the above options, only the second expression, √3 × √3 (which equals 3), is a rational number.

Thus, the answer is:

√3 × √3