Question

Using rational approximations what statement is true would it be square root of 49 is less than seven or square root of 48 is less than square root of 36 or square root of 49 is greater than seven or square root of 48 is greater than square root of 36

Answer 1

Let's analyze the statements one by one:

1. **Square root of 49 is less than seven**:
\[
\sqrt{49} = 7
\]
This statement is **false** because \(7\) is not less than \(7\).

2. **Square root of 48 is less than square root of 36**:
\[
\sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6
\]
This statement is also **false** because \(6.928\) is not less than \(6\).

3. **Square root of 49 is greater than seven**:
\[
\sqrt{49} = 7
\]
This statement is **false** because \(7\) is not greater than \(7\).

4. **Square root of 48 is greater than square root of 36**:
\[
\sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6
\]
This statement is **true** because \(6.928\) is greater than \(6\).

Thus, the only true statement is **"square root of 48 is greater than square root of 36."**