Question

which of the following is rational

(\sqrt(3))/(1) \sqrt(3)+\sqrt(3) (1)/(\sqrt(3)) \sqrt(3*)\sqrt(3)

Answer 1

whats the answer

Answer 2

To determine which of the given expressions are rational, let's analyze each one:

1. \(\frac{\sqrt{3}}{1}\):
- This simplifies to \(\sqrt{3}\), which is irrational.

2. \(\sqrt{3} + \sqrt{3}\):
- This simplifies to \(2\sqrt{3}\), which is also irrational because \(\sqrt{3}\) is irrational.

3. \(\frac{1}{\sqrt{3}}\):
- This is also irrational because dividing 1 by an irrational number results in an irrational number.

4. \(\sqrt{3} \cdot \sqrt{3}\):
- This simplifies to \(3\), which is a rational number.

Thus, the only rational expression among the options is \(\sqrt{3} \cdot \sqrt{3}\), which equals \(3\).

Answer 3

The only rational expression from the options you provided is:

\(\sqrt{3} \cdot \sqrt{3} = 3\)

So, the answer is **\(3\)**.