What is the square root of 36

The short answer is \( \sqrt{ 36 } = 6 \).

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 36.

36 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 36 } = 6 $$

The important part is to the right of the equals sign. Since the square root of 36 is a whole number, that means that 36 is a perfect square. The square root of 36 is 6, which is a whole number.

The next perfect square greater than 36 is 49. The previous perfect square less than 36 is 25.

Square root of 36 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 36 the following two values are equal.

$$ \LARGE \sqrt{ 36 } = 36^{^1/_2} $$

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