Find the square root of 1010101010101
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Answer:
Here we will define, analyze, simplify, and calculate the square root of 101. We start off with the definition and then answer some common questions about the square root of 101. Then, we will show you different ways of calculating the square root of 101 with and without a computer or calculator. We have a lot of information to share, so let's get started!
Square root of 101 definition
The square root of 101 in mathematical form is written with the radical sign like this √101. We call this the square root of 101 in radical form. The square root of 101 is a quantity (q) that when multiplied by itself will equal 101.
√101 = q × q = q2
Is 101 a perfect square?
101 is a perfect square if the square root of 101 equals a whole number. As we have calculated further down on this page, the square root of 101 is not a whole number.
101 is not a perfect square.
Is the square root of 101 rational or irrational?
The square root of 101 is a rational number if 101 is a perfect square. It is an irrational number if it is not a perfect square. Since 101 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 101?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√101 is an irrational number
Can the square root of 101 be simplified?
You can simplify 101 if you can make 101 inside the radical smaller. We call this process "to simplify a surd". The square root of 101 cannot be simplified.
√101 is already in its simplest radical form.
How to calculate the square root of 101 with a calculator
The easiest and most boring way to calculate the square root of 101 is to use your calculator! Simply type in 101 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√101 ≈ 10.049875621
Step-by-step explanation: