What is the square root of 289
The short answer is \( \sqrt{ 289 } = 17 \).
If that's all you're looking for, thanks for coming by. But if you're interested in the hows and whys behind square roots, continue reading and we'll tell you all about the square root of 289.
289 is a perfect square
Let's look at some math.
$$ \LARGE \sqrt{ 289 } = 17 $$
The important part is to the right of the equals sign. Since the square root of 289 is a whole number, that means that 289 is a perfect square. The square root of 289 is 17, which is a whole number.
The next perfect square greater than 289 is 324. The previous perfect square less than 289 is 256.
Square root of 289 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 289 the following two values are equal.
$$ \LARGE \sqrt{ 289 } = 289^{^1/_2} $$
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