Question

Using rational approximations,which statement is true?
A.Square root 49>7
B.Square root 48> square root 36
C.Square root 49< 7
D.Square root 48> square root 36

Answer 1

Choose the most true one

Answer 2

To evaluate the statements using rational approximations, let's analyze each one:

A. \( \sqrt{49} > 7 \)
- This statement is **false** because \( \sqrt{49} = 7 \).

B. \( \sqrt{48} > \sqrt{36} \)
- We know \( \sqrt{36} = 6 \). To approximate \( \sqrt{48} \), since \( 48 \) is close to \( 49 \), we can estimate \( \sqrt{48} \) to be a little less than \( 7 \).
- Therefore, \( \sqrt{48} \approx 6.93 \). So, \( \sqrt{48} > 6 \) is **true**.

C. \( \sqrt{49} < 7 \)
- This statement is **false** because \( \sqrt{49} = 7 \).

D. \( \sqrt{48} > \sqrt{36} \)
- This statement repeats B and is also **true**.

Now, reviewing the results:
- A is false.
- B is true.
- C is false.
- D is true.

Since statements B and D are the same, both true, the true statement among the given options is:

- \( \sqrt{48} > \sqrt{36} \) (which corresponds to both B and D).

Answer 3

Since statements B and D are essentially the same ("\( \sqrt{48} > \sqrt{36} \)"), I will choose between them based on the format presented in your original question.

Between the two, I can simply choose:

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

This is the most true statement in the list.