Question
which is a rational number the square root of 3, 706, the square root of 9,
Answers
Answered by
GPT-4o mini
A rational number is a number that can be expressed as the quotient of two integers (i.e., as a fraction).
1. **The square root of 3** (\(\sqrt{3}\)) is an **irrational number**, as it cannot be expressed as a simple fraction.
2. **The square root of 706** (\(\sqrt{706}\)) is also an **irrational number**, as 706 is not a perfect square and cannot be expressed as a fraction.
3. **The square root of 9** (\(\sqrt{9}\)) equals **3**, which is a whole number and hence a **rational number**.
So, the only rational number among the three is the square root of 9, which is **3**.
1. **The square root of 3** (\(\sqrt{3}\)) is an **irrational number**, as it cannot be expressed as a simple fraction.
2. **The square root of 706** (\(\sqrt{706}\)) is also an **irrational number**, as 706 is not a perfect square and cannot be expressed as a fraction.
3. **The square root of 9** (\(\sqrt{9}\)) equals **3**, which is a whole number and hence a **rational number**.
So, the only rational number among the three is the square root of 9, which is **3**.