However, we can make it into an approximate fraction using the square root of 32 rounded to the nearest hundredth. Like we said above, since the square root of 32 is an irrational number, we cannot make it into an exact fraction. We covered earlier in this article that only a rational number can be written as a fraction, and irrational numbers cannot. Here are the solutions to that, if needed.ġ000th: √32 ≈ 5.657 What is the Square Root of 32 as a Fraction? Sometimes you might need to round the square root of 32 down to a certain number of decimal places. On a computer you can also calculate the square root of 32 using Excel, Numbers, or Google Sheets and the SQRT function, like so:
#Simplifying square roots fractions calculator how to#
√32 ≈ 5.6569 How to Calculate the Square Root of 32 with a Computer On most calculators you can do this by typing in 32 and then pressing the √x key.
If you have a calculator then the simplest way to calculate the square root of 32 is to use that calculator. How to Calculate The Square Root of 32 with a Calculator In this example, the square root of 32 can be simplified. This is a process that is called simplifying the surd. Can the Square Root of 32 Be Simplified?ģ2 can be simplified only if you can make 32 inside the radical symbol smaller. We already know if 32 is a perfect square so we also can see that √32 is an irrational number. If it's not a perfect square then it's an irrational number. Rational numbers can be written as a fraction and irrational numbers cannot.Ī quick way to check this is to see if 32 is a perfect square. Is The Square Root of 32 Rational or Irrational?Ī common question is to ask whether the square root of 32 is rational or irrational. To find out more about perfect squares, you can read about them and look at a list of 1000 of them in our What is a Perfect Square? article. In this case, as we will see in the calculations below, we can see that 32 is not a perfect square. In math, we refer to 32 being a perfect square if the square root of 32 is a whole number. √32 = q × q = q 2 Is 32 a Perfect Square? So what is the square root? In this case, the square root of 32 is the quantity (which we will call q) that when multiplied by itself, will equal 32. This is usually referred to as the square root of 32 in radical form. In mathematical form we can show the square root of 32 using the radical sign, like this: √32.
We'll also look at the different methods for calculating the square root of 32 (both with and without a computer/calculator). In this article we're going to calculate the square root of 32 and explore what the square root is and answer some of the common questions you might.
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