To find the square root of 289, you can use a few different methods, but one of the simplest ways is to look for a number that, when multiplied by itself, equals 289.
Firstly, you might want to do a bit of trial and error with whole numbers. Start from 1 and progressively increase the numbers:
- 1 x 1 = 1
- 2 x 2 = 4
- 3 x 3 = 9
- 4 x 4 = 16
- 5 x 5 = 25
- 6 x 6 = 36
- 7 x 7 = 49
- 8 x 8 = 64
- 9 x 9 = 81
- 10 x 10 = 100
- 11 x 11 = 121
- 12 x 12 = 144
- 13 x 13 = 169
- 14 x 14 = 196
- 15 x 15 = 225
- 16 x 16 = 256
- 17 x 17 = 289
From this list, we see that 17 x 17 equals 289. Therefore, the square root of 289 is 17.
Alternatively, you can also use a calculator which typically has a square root function (√) to find the square root directly. Just enter 289 and press the square root button to get the answer, which should also show 17.