What is the square root of 840
The short answer is \( \sqrt{ 840 } = 28.982753492379 \).
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 840.
840 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 840 } = 28.982753492379 $$
Note that \(28.982753492379\) is not a whole number, therefore 840 is not a perfect square.
The next perfect square greater than 840 is 841. The previous perfect square less than 840 is 784.
Square root of 840 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 840 the following two values are equal.
$$ \LARGE \sqrt{ 840 } = 840^{^1/_2} $$
Square root of 840 as a fraction
Since 840 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 840 that value is \(\Large 28 \frac{56}{57}\).
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