Order each of following sets of radicals from least to greatest:
4√3
√43
2√10
3√7
2√11
To order the sets of radicals from least to greatest, we can compare their numerical values.
First, let's find the approximate values for each set of radicals:
4√3 ≈ 4 * 1.732 ≈ 6.928
√43 ≈ 6.557
2√10 ≈ 2 * 3.162 ≈ 6.324
3√7 ≈ 3 * 1.912 ≈ 5.736
2√11 ≈ 2 * 3.317 ≈ 6.634
Now we can order them from least to greatest:
3√7 < 2√10 < √43 < 2√11 < 4√3