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Square Root of 138
Here we will define, analyze, simplify, and calculate the square root of 138. We start off with the definition and then answer some common questions about the square root of 138. Then, we will show you different ways of calculating the square root of 138 with and without a computer or calculator. We have a lot of information to share, so let's get started!
Square root of 138 definition
The square root of 138 in mathematical form is written with the radical sign like this √138. We call this the square root of 138 in radical form. The square root of 138 is a quantity (q) that when multiplied by itself will equal 138.
√138 = q × q = q2
Is 138 a perfect square?
138 is a perfect square if the square root of 138 equals a whole number. As we have calculated further down on this page, the square root of 138 is not a whole number.
138 is not a perfect square.
Is the square root of 138 rational or irrational?
The square root of 138 is a rational number if 138 is a perfect square. It is an irrational number if it is not a perfect square. Since 138 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 138?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√138 is an irrational number
Can the square root of 138 be simplified?
You can simplify 138 if you can make 138 inside the radical smaller. We call this process "to simplify a surd". The square root of 138 cannot be simplified.
√138 is already in its simplest radical form.
How to calculate the square root of 138 with a calculator
The easiest and most boring way to calculate the square root of 138 is to use your calculator! Simply type in 138 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√138 ≈ 11.747340124