What is the square root of 868? In this article, we will explain how to calculate the square root of 868 and explore some common square root-related questions such as is the square root of 868 a perfect square, is the square root of 868 a rational or irrational number, or can the square root of 868 be simplified?
The square root of a number is a value which on multiplication by itself, gives the original number. In simpler terms, the square root of any number is equal to a number, which when squared gives the original number. There are several methods of finding the square roots-
When it comes to expressing the square root of 2, it can be expressed as –
A perfect square refers to a number whose square root is a whole number. When it comes to the square root of 868, we know that the answer is an . Therefore, the square root of 868 is a
Is the square root of 868 a rational or irrational number?
The square root of 2 is an irrational number. It can be expressed to up to 1 trillion decimal places. For instance, the value of √2 up to 25 decimal places is 1.4142135623730950488016997.
A quick way to check this is to see if 868 is a perfect square. If it is, then it is a rational number. If it's not a perfect square then it's an irrational number.
We already know if 868 is a perfect square so we also can see that √868 is an irrational number.
868 can be simplified only if you can make 868 inside the radical symbol smaller. This is a process that is called simplifying the surd. In this example square root of 868
If you don’t want to calculate the square root of 868 with long division, we can use a calculator instead. To find the square root of 868 in a calculator is relatively simple, all you have to do is pick the radical or square root function, type 868, and hit enter. You’ll get the following result in the calculator-
Computers tend to have a stronger computing capacity than calculators. Therefore, it can give us a better representation of the square root of 868 which is √868≈
Sometimes you might need to round the square root of 868 down to a certain number of decimal places. Here are the solutions to that, if needed.
We covered earlier in this article that only a rational number can be written as a fraction, and irrational numbers cannot.
Like we said above, since the square root of 868 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 868 rounded to the nearest hundredth.
The square root of 868 is expressed as √868 in the radical form and as √b = b ½ or √868 = 868 ½ in the exponent form.