Using rational approximations, what statement is true? (1 point)

Question

• The square root of 81 > 9
• the square root of 71 < the square root of 61
• the square root of 81 < 9
• the square root of 71 > the square root of 61

Answer 1

To evaluate the statements:

1. \(\sqrt{81} > 9\): This is false. \(\sqrt{81} = 9\).
2. \(\sqrt{71} < \sqrt{61}\): This is false. Since 71 > 61, \(\sqrt{71} > \sqrt{61}\).
3. \(\sqrt{81} < 9\): This is false. \(\sqrt{81} = 9\).
4. \(\sqrt{71} > \sqrt{61}\): This is true. Since 71 > 61, the square root of 71 is greater than the square root of 61.

The true statement is:

• \(\sqrt{71} > \sqrt{61}\)