Here are the solutions to that, if needed.ġ000th: √47 ≈ 6.856 What is the Square Root of 47 as a Fraction? Sometimes you might need to round the square root of 47 down to a certain number of decimal places. On a computer you can also calculate the square root of 47 using Excel, Numbers, or Google Sheets and the SQRT function, like so: √47 ≈ 6.8557 How to Calculate the Square Root of 47 with a Computer On most calculators you can do this by typing in 47 and then pressing the √x key. If you have a calculator then the simplest way to calculate the square root of 47 is to use that calculator. How to Calculate The Square Root of 47 with a Calculator √47 is already in its simplest radical form. In this example square root of 47 cannot be simplified. This is a process that is called simplifying the surd. Can the Square Root of 47 Be Simplified?Ĥ7 can be simplified only if you can make 47 inside the radical symbol smaller. We already know if 47 is a perfect square so we also can see that √47 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 47 is a perfect square. Is The Square Root of 47 Rational or Irrational?Ī common question is to ask whether the square root of 47 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 47 is not a perfect square. In math, we refer to 47 being a perfect square if the square root of 47 is a whole number. √47 = q × q = q 2 Is 47 a Perfect Square? So what is the square root? In this case, the square root of 47 is the quantity (which we will call q) that when multiplied by itself, will equal 47.
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