Because 16<17<25, or, 4<17<5, the largest integer less than 17 is 4. Therefore, 4^2=16.

jmc

algebra intermediate

Problem

Evaluate

⌊ 17 ⌋^{2}

Solution

Because

16 < 17 < 25

, or,

4 < 17 < 5

, the largest integer less than

17

4

. Therefore,

4^{2} = 16

Final answer