What is the square root of 56
The short answer is \( \sqrt{ 56 } = 7.4833147735479 \).
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 56.
56 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 56 } = 7.4833147735479 $$
Note that \(7.4833147735479\) is not a whole number, therefore 56 is not a perfect square.
The next perfect square greater than 56 is 64. The previous perfect square less than 56 is 49.
Square root of 56 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 56 the following two values are equal.
$$ \LARGE \sqrt{ 56 } = 56^{^1/_2} $$
Square root of 56 as a fraction
Since 56 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 56 that value is \(\Large 7 \frac{29}{60}\).
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