Rational approximations what statement is true

Question

√71>√61
√71<√61
√81>9
√81<9

Answer 1

To determine which statements are true, we can evaluate each one:

1. √71 > √61:

   • Since 71 > 61, it follows that the square root of 71 is greater than the square root of 61. Therefore, this statement is true.

2. √71 < √61:

   • This statement contradicts the first one. Since √71 > √61, this statement is false.

3. √81 > 9:

   • Since the square root of 81 is equal to 9 (√81 = 9), this statement is false.

4. √81 < 9:

   • Again, since √81 = 9, this statement is also false.

Thus, the only true statement is √71 > √61.