Let's analyze each statement one by one using the results from our computations.
1. Statement: [tex]\( \sqrt{49} > 7 \)[/tex]
To evaluate this, we first find the value of [tex]\( \sqrt{49} \)[/tex].
[tex]\[
\sqrt{49} = 7.0
\][/tex]
Thus, the statement becomes:
[tex]\[
7.0 > 7
\][/tex]
This is clearly false.
2. Statement: [tex]\( \sqrt{48} < \sqrt{36} \)[/tex]
To evaluate this, we need to find the values of [tex]\( \sqrt{48} \)[/tex] and [tex]\( \sqrt{36} \)[/tex].
[tex]\[
\sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6.0
\][/tex]
Thus, the statement becomes:
[tex]\[
6.928 < 6.0
\][/tex]
This is clearly false.
3. Statement: [tex]\( \sqrt{48} > \sqrt{36} \)[/tex]
Again, using the values found:
[tex]\[
\sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6.0
\][/tex]
The statement becomes:
[tex]\[
6.928 > 6.0
\][/tex]
This is true.
4. Statement: [tex]\( \sqrt{49} < 7 \)[/tex]
Using the value of [tex]\( \sqrt{49} \)[/tex]:
[tex]\[
\sqrt{49} = 7.0
\][/tex]
Thus, the statement becomes:
[tex]\[
7.0 < 7
\][/tex]
This is clearly false.
Based on the evaluation of each statement, the correct statement is:
[tex]\[
\sqrt{48} > \sqrt{36}
\][/tex]
