Simplify Square Root of 3125

Here we will show you step-by-step how to simplify the square root of 3125. The square root of 3125 can be written as follows:


	√	3125

The √ symbol is called the radical sign. To simplify the square root of 3125 means to get the simplest radical form of √3125.

Step 1: List Factors
List the factors of 3125 like so:

1, 5, 25, 125, 625, 3125

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25, 625

Step 3: Divide
Divide 3125 by the largest perfect square you found in the previous step:

3125 / 625 = 5

Step 4: Calculate
Calculate the square root of the largest perfect square:

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3125 in its simplest form:


25	√	5

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Decimal Form
Square Root of 3125 in Decimal form rounded to nearest 5 decimals:

55.9017

Exponent Form
Square Root of 3125 written with Exponent instead of Radical:

3125^½ = 25 x 5^½

Simplify Square Root of 3126
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* List of Perfect Squares