SQUARE ROOT OF 106929 BY DIVISION METHOD
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Simplify Square Root of 10629
Simplify Square Root
Here we will show you two methods that you can use to simplify the square root of 10629. In other words, we will show you how to find the square root of 10629 in its simplest radical form using two different methods.
To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.
√10629 = A√B
Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 10629 to simplify the square root of 10629. This is how to calculate A and B using this method:
A = Calculate the square root of the greatest perfect square from the list of all factors of 10629. The factors of 10629 are 1, 3, 9, 1181, 3543, and 10629. Furthermore, the greatest perfect square on this list is 9 and the square root of 9 is 3. Therefore, A equals 3.
B = Calculate 10629 divided by the greatest perfect square from the list of all factors of 10629. We determined above that the greatest perfect square from the list of all factors of 10629 is 9. Furthermore, 10629 divided by 9 is 1181, therefore B equals 1181.
Now we have A and B and can get our answer to 10629 in its simplest radical form as follows:
√10629 = A√B
√10629 = 3√1181
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