This is very useful for long division test problems and was how mathematicians would calculate the square root of a number before calculators and computers were invented. √1 = 1 ½ How to Find the Square Root of 1 Using Long Divisionįinally, we can use the long division method to calculate the square root of 1. Let's see how to do that with the square root of 1: SQRT(1) = 1 What is the Square Root of 1 Written with an Exponent?Īll square root calculations can be converted to a number (called the base) with a fractional exponent. On a computer you can also calculate the square root of 1 using Excel, Numbers, or Google Sheets and the SQRT function, like so: √1 = 1 How to Calculate the Square Root of 1 with a Computer On most calculators you can do this by typing in 1 and then pressing the √x key. Know that a factor is a number that can be evenly divided out of another number. For example, in the problem, 72, '7' is the coefficient. This is the number that the square root is being multiplied by this sits to the left of the symbol. If you have a calculator then the simplest way to calculate the square root of 1 is to use that calculator. Know that the coefficient is the number outside the radical symbol. How to Calculate The Square Root of 1 with a Calculator √1 is already in its simplest radical form. In this example square root of 1 cannot be simplified. The calculator works for both numbers and expressions containing variables. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to its simplest form. This is a process that is called simplifying the surd. Step 1: Enter the expression you want to simplify into the editor. Can the Square Root of 1 Be Simplified?ġ can be simplified only if you can make 1 inside the radical symbol smaller. We already know if 1 is a perfect square so we also can see that √1 is a rational 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 1 is a perfect square. Is The Square Root of 1 Rational or Irrational?Ī common question is to ask whether the square root of 1 is rational or irrational. Done Having an irrational number in the top (numerator) of a fraction is preferred. ![]() Multiply top and bottom by the square root of 2, because: 2 × 2 2: Now the denominator has a rational number (which is 2). ![]() 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. Example: 1 2 has an Irrational Denominator. In this case, as we will see in the calculations below, we can see that 1 is a perfect square. ![]() In math, we refer to 1 being a perfect square if the square root of 1 is a whole number. So what is the square root? In this case, the square root of 1 is the quantity (which we will call q) that when multiplied by itself, will equal 1.
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