What is the square root of 115
The short answer is \( \sqrt{ 115 } = 10.723805294764 \).
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 115.
115 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 115 } = 10.723805294764 $$
Note that \(10.723805294764\) is not a whole number, therefore 115 is not a perfect square.
The next perfect square greater than 115 is 121. The previous perfect square less than 115 is 100.
Square root of 115 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 115 the following two values are equal.
$$ \LARGE \sqrt{ 115 } = 115^{^1/_2} $$
Square root of 115 as a fraction
Since 115 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 115 that value is \(\Large 10 \frac{21}{29}\).
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