What is the square root of 361
The short answer is \( \sqrt{ 361 } = 19 \).
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 361.
361 is a perfect square
Let's look at some math.
$$ \LARGE \sqrt{ 361 } = 19 $$
The important part is to the right of the equals sign. Since the square root of 361 is a whole number, that means that 361 is a perfect square. The square root of 361 is 19, which is a whole number.
The next perfect square greater than 361 is 400. The previous perfect square less than 361 is 324.
Square root of 361 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 361 the following two values are equal.
$$ \LARGE \sqrt{ 361 } = 361^{^1/_2} $$
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