Using rational approximations, what statement is true? √81 > 9. √71 < √61. √81 < 9. √71 > √61.

Answer 1

Let's analyze each statement one by one using rational approximations:

1. √81 > 9: This is false. We know that √81 = 9.

2. √71 < √61: To evaluate this, we can compare 71 and 61. Since 71 is greater than 61, it follows that √71 is greater than √61. This statement is false.

3. √81 < 9: This is also false since √81 = 9.

4. √71 > √61: As explained above, since 71 > 61, this statement is true.

Therefore, the only true statement among the provided options is:

√71 > √61.