Simplify Square Root of 4575

Here we will show you step-by-step how to simplify the square root of 4575. The square root of 4575 can be written as follows:


	√	4575

The √ symbol is called the radical sign. To simplify the square root of 4575 means to get the simplest radical form of √4575.

Step 1: List Factors
List the factors of 4575 like so:

1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575

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

1, 25

Step 3: Divide
Divide 4575 by the largest perfect square you found in the previous step:

4575 / 25 = 183

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 4575 in its simplest form:


5	√	183

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

Decimal Form
Square Root of 4575 in Decimal form rounded to nearest 5 decimals:

67.63875

Exponent Form
Square Root of 4575 written with Exponent instead of Radical:

4575^½ = 5 x 183^½

Simplify Square Root of 4576
The answer to Simplify Square Root of 4575 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares