Simplify Square Root of 2300

Here we will show you step-by-step how to simplify the square root of 2300. The square root of 2300 can be written as follows:


	√	2300

The √ symbol is called the radical sign. To simplify the square root of 2300 means to get the simplest radical form of √2300.

Step 1: List Factors
List the factors of 2300 like so:

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300

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

1, 4, 25, 100

Step 3: Divide
Divide 2300 by the largest perfect square you found in the previous step:

2300 / 100 = 23

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2300 in its simplest form:


10	√	23

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Decimal Form
Square Root of 2300 in Decimal form rounded to nearest 5 decimals:

47.95832

Exponent Form
Square Root of 2300 written with Exponent instead of Radical:

2300^½ = 10 x 23^½

Simplify Square Root of 2301
The answer to Simplify Square Root of 2300 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares