What is the square root of 289?

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Detailed Solution

To find the square root of 289, we need to factorize 289 into its prime factors:

289 = 17 × 17

Then, we group the factors into pairs of identical factors:

289 = (17 × 17)

Next, we take one factor from each pair and multiply them together:

√289 = 17

Therefore, the square root of 289 is 17.

The square root of a number is a value that, when multiplied by itself, equals the original number.

The square of 17 is 289 (17 x 17 = 289), so the square root of 289 is 17.

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