Simplify Square Root Of 125

Simplify Square Root

Here nosotros volition prove you two methods that y'all can use to simplify the square root of 125. In other words, we will prove y'all how to discover the square root of 125 in its simplest radical class using ii different methods.

To exist more specific, we have created an illustration below showing what nosotros want to calculate. Our goal is to brand "A" outside the radical (√) every bit large equally possible, and "B" inside the radical (√) as modest as possible.

√125 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect foursquare gene of 125 to simplify the square root of 125. This is how to calculate A and B using this method:

A = Summate the square root of the greatest perfect square from the listing of all factors of 125. The factors of 125 are 1, 5, 25, and 125. Furthermore, the greatest perfect square on this list is 25 and the square root of 25 is v. Therefore, A equals v.

B = Calculate 125 divided by the greatest perfect square from the list of all factors of 125. We adamant in a higher place that the greatest perfect square from the listing of all factors of 125 is 25. Furthermore, 125 divided by 25 is v, therefore B equals five.

Now we accept A and B and tin can get our reply to 125 in its simplest radical form as follows:

√125 = A√B

√125 = 5√v

Double Prime Factor Method
The Double Prime Gene Method uses the prime factors of 125 to simplify the foursquare root of 125 to its simplest form possible. This is how to calculate A and B using this method:

A = Multiply all the double prime factors (pairs) of 125 and then take the square root of that production. The prime factors that multiply together to make 125 are v x 5 ten 5. When we strip out the pairs only, we get 5 10 5 = 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Divide 125 past the number (A) squared. 5 squared is 25 and 125 divided by 25 is 5. Therefore, B equals v.

Once again we take A and B and tin get our answer to 125 in its simplest radical form as follows:

√125 = A√B

√125 = 5√5

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Simplify Square Root of 126
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