Simplify Square Root of 4125

Here we will show you step-by-step how to simplify the square root of 4125. The square root of 4125 can be written as follows:


	√	4125

The √ symbol is called the radical sign. To simplify the square root of 4125 means to get the simplest radical form of √4125.

Step 1: List Factors
List the factors of 4125 like so:

1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125

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

1, 25

Step 3: Divide
Divide 4125 by the largest perfect square you found in the previous step:

4125 / 25 = 165

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4125 in its simplest form:


5	√	165

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 4125 in Decimal form rounded to nearest 5 decimals:

64.22616

Exponent Form
Square Root of 4125 written with Exponent instead of Radical:

4125^½ = 5 x 165^½

Simplify Square Root of 4126
The answer to Simplify Square Root of 4125 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares