What is the square root of 68
The short answer is \( \sqrt{ 68 } = 8.2462112512353 \).
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 68.
68 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 68 } = 8.2462112512353 $$
Note that \(8.2462112512353\) is not a whole number, therefore 68 is not a perfect square.
The next perfect square greater than 68 is 81. The previous perfect square less than 68 is 64.
Square root of 68 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 68 the following two values are equal.
$$ \LARGE \sqrt{ 68 } = 68^{^1/_2} $$
Square root of 68 as a fraction
Since 68 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 68 that value is \(\Large 8 \frac{16}{65}\).
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