Question

Using rational approximations, what statement is true? (1 point)
48 >
−− √ 36
−− √
49 < 7
−− √
48 <
−− √ 36
−− √
49 > 7

Answer 1

To evaluate the given statements and determine which one is true using rational approximations, let's compute the approximate values of the square roots:

1. For \( \sqrt{36} \):
- \( \sqrt{36} = 6 \)

2. For \( \sqrt{49} \):
- \( \sqrt{49} = 7 \)

Next, we can check each statement:

1. **48 > \( \sqrt{36} \)**
- \( 48 > 6 \) is **true**.

2. **\( \sqrt{49} < 7 \)**
- \( 7 < 7 \) is **false**.

3. **48 < \( \sqrt{36} \)**
- \( 48 < 6 \) is **false**.

4. **\( \sqrt{49} > 7 \)**
- \( 7 > 7 \) is **false**.

From these computations, the only statement that is true is:

**48 > \( \sqrt{36} \).**