Simplify Square Root of 2325

Here we will show you step-by-step how to simplify the square root of 2325. The square root of 2325 can be written as follows:


	√	2325

The √ symbol is called the radical sign. To simplify the square root of 2325 means to get the simplest radical form of √2325.

Step 1: List Factors
List the factors of 2325 like so:

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325

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

1, 25

Step 3: Divide
Divide 2325 by the largest perfect square you found in the previous step:

2325 / 25 = 93

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 2325 in its simplest form:


5	√	93

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Decimal Form
Square Root of 2325 in Decimal form rounded to nearest 5 decimals:

48.21825

Exponent Form
Square Root of 2325 written with Exponent instead of Radical:

2325^½ = 5 x 93^½

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* List of Perfect Squares