What is the square root of 169

The short answer is \( \sqrt{ 169 } = 13 \).

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 169.

169 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 169 } = 13 $$

The important part is to the right of the equals sign. Since the square root of 169 is a whole number, that means that 169 is a perfect square. The square root of 169 is 13, which is a whole number.

The next perfect square greater than 169 is 196. The previous perfect square less than 169 is 144.

Square root of 169 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 169 the following two values are equal.

$$ \LARGE \sqrt{ 169 } = 169^{^1/_2} $$

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