Using rational approximations what statement is true
✓81<9
✓71>✓61
✓81>9
✓71<✓61
The true statement using rational approximations is:
✓81 > 9
Looking at the provided statements:
1. 81 < 9: This statement is incorrect. 81 is greater than 9.
2. √71 > √61: This statement is correct. Using rational approximations, we can determine that √71 is greater than √61. To determine this, we can compare the whole numbers that are slightly less than √71 and √61. For example, √71 is slightly less than 9 (since 9^2 = 81) and √61 is slightly less than 8 (since 8^2 = 64). Therefore, we can conclude that the square root of 71 is greater than the square root of 61.
3. 81 > 9: This statement is correct. 81 is indeed greater than 9.
4. √71 < √61: This statement is incorrect. As explained in statement 2, √71 is greater than √61.
So, the correct statements using rational approximations are as follows:
✓81 > 9
✓71 > ✓61