Simplify Square Root of 2313

Here we will show you step-by-step how to simplify the square root of 2313. The square root of 2313 can be written as follows:


	√	2313

The √ symbol is called the radical sign. To simplify the square root of 2313 means to get the simplest radical form of √2313.

Step 1: List Factors
List the factors of 2313 like so:

1, 3, 9, 257, 771, 2313

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

1, 9

Step 3: Divide
Divide 2313 by the largest perfect square you found in the previous step:

2313 / 9 = 257

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2313 in its simplest form:


3	√	257

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Decimal Form
Square Root of 2313 in Decimal form rounded to nearest 5 decimals:

48.09366

Exponent Form
Square Root of 2313 written with Exponent instead of Radical:

2313^½ = 3 x 257^½

Simplify Square Root of 2314
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* List of Perfect Squares