Question

Which of the following is rational?
A. square root 3 + square root 3
B. 1/square root 3
C. square root 3/1
D. square root 3 × square root 3

Answer 1

To determine which of the options is rational, we need to evaluate each one.

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

B. \( \frac{1}{\sqrt{3}} \)
This is also irrational since \( \sqrt{3} \) is irrational.

C. \( \frac{\sqrt{3}}{1} \)
This is simply \( \sqrt{3} \), which is irrational.

D. \( \sqrt{3} \times \sqrt{3} \)
This simplifies to \( 3 \), which is a rational number.

Therefore, the only rational option is **D. \( \sqrt{3} \times \sqrt{3} \)**.