Question

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

Answer 1

To analyze the statements given, let's evaluate each one separately:

1. \( \sqrt{36} \) = 6, so the statement \( 48 > \sqrt{36} \) translates to \( 48 > 6 \), which is TRUE.

2. \( \sqrt{49} \) = 7, so the statement \( 49 < \sqrt{49} \) translates to \( 49 < 7 \), which is FALSE.

3. Again, since \( \sqrt{49} = 7\), the statement \( 49 > \sqrt{49} \) translates to \( 49 > 7 \), which is TRUE.

4. For \( \sqrt{36} = 6\), the statement \( 48 < \sqrt{36} \) translates to \( 48 < 6 \), which is FALSE.

From this evaluation, the TRUE statements are:
- \( 48 > \sqrt{36} \)
- \( 49 > \sqrt{49} \)

Thus, the true statements among your options would be:
- \( 48 > \sqrt{36} \)
- \( 49 > 7 \) (since \( \sqrt{49} = 7 \))

The specific answer from the options provided is that:

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