Using rational approximations, what statement is true? √49 > 7. √49 < 7. V48 < √36. √48 > √36.

Answer 1

To analyze the statements regarding rational approximations, let's examine each one:

1. √49 > 7: This is false. \( \sqrt{49} = 7 \).

2. √49 < 7: This is also false. As mentioned, \( \sqrt{49} = 7 \).

3. V48 < √36: This is false as well. \( \sqrt{36} = 6 \) and \( \sqrt{48} \) is approximately \( 6.93 \), which is greater than \( 6 \).

4. √48 > √36: This is true, because \( \sqrt{48} \approx 6.93 \) and \( \sqrt{36} = 6 \), so \( 6.93 > 6 \).

Therefore, the true statement is: √48 > √36.