square root of 46 by long division method solution
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Square Root of 46
Square Root of 46
Here we will define, analyze, simplify, and calculate the square root of 46. We start off with the definition and then answer some common questions about the square root of 46. Then, we will show you different ways of calculating the square root of 46 with and without a computer or calculator. We have a lot of information to share, so let's get started!
Square root of 46 definition
The square root of 46 in mathematical form is written with the radical sign like this √46. We call this the square root of 46 in radical form. The square root of 46 is a quantity (q) that when multiplied by itself will equal 46.
√46 = q × q = q2
Is 46 a perfect square?
46 is a perfect square if the square root of 46 equals a whole number. As we have calculated further down on this page, the square root of 46 is not a whole number.
46 is not a perfect square.
Is the square root of 46 rational or irrational?
The square root of 46 is a rational number if 46 is a perfect square. It is an irrational number if it is not a perfect square. Since 46 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 46?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√46 is an irrational number
Can the square root of 46 be simplified?
You can simplify 46 if you can make 46 inside the radical smaller. We call this process "to simplify a surd". The square root of 46 cannot be simplified.
√46 is already in its simplest radical form.
How to calculate the square root of 46 with a calculator
The easiest and most boring way to calculate the square root of 46 is to use your calculator! Simply type in 46 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√46 ≈ 6.782329983
Answer:
6.7823299831
Step-by-step explanation:
By long division method