What is the square root of 100

The short answer is \( \sqrt{ 100 } = 10 \).

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 100.

100 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 100 } = 10 $$

The important part is to the right of the equals sign. Since the square root of 100 is a whole number, that means that 100 is a perfect square. The square root of 100 is 10, which is a whole number.

The next perfect square greater than 100 is 121. The previous perfect square less than 100 is 81.

Square root of 100 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 100 the following two values are equal.

$$ \LARGE \sqrt{ 100 } = 100^{^1/_2} $$

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