What is the square root of 900

The short answer is \( \sqrt{ 900 } = 30 \).

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 900.

900 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 900 } = 30 $$

The important part is to the right of the equals sign. Since the square root of 900 is a whole number, that means that 900 is a perfect square. The square root of 900 is 30, which is a whole number.

The next perfect square greater than 900 is 961. The previous perfect square less than 900 is 841.

Square root of 900 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 900 the following two values are equal.

$$ \LARGE \sqrt{ 900 } = 900^{^1/_2} $$

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