Simplify Square Root of 8125

Here we will show you step-by-step how to simplify the square root of 8125. The square root of 8125 can be written as follows:


	√	8125

The √ symbol is called the radical sign. To simplify the square root of 8125 means to get the simplest radical form of √8125.

Step 1: List Factors
List the factors of 8125 like so:

1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125

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

1, 25, 625

Step 3: Divide
Divide 8125 by the largest perfect square you found in the previous step:

8125 / 625 = 13

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 8125 in its simplest form:


25	√	13

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Decimal Form
Square Root of 8125 in Decimal form rounded to nearest 5 decimals:

90.13878

Exponent Form
Square Root of 8125 written with Exponent instead of Radical:

8125^½ = 25 x 13^½

Simplify Square Root of 8126
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* List of Perfect Squares