What is the square root of 784

The short answer is \( \sqrt{ 784 } = 28 \).

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 784.

784 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 784 } = 28 $$

The important part is to the right of the equals sign. Since the square root of 784 is a whole number, that means that 784 is a perfect square. The square root of 784 is 28, which is a whole number.

The next perfect square greater than 784 is 841. The previous perfect square less than 784 is 729.

Square root of 784 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 784 the following two values are equal.

$$ \LARGE \sqrt{ 784 } = 784^{^1/_2} $$

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