Simplify Square Root of 2312

Here we will show you step-by-step how to simplify the square root of 2312. The square root of 2312 can be written as follows:


	√	2312

The √ symbol is called the radical sign. To simplify the square root of 2312 means to get the simplest radical form of √2312.

Step 1: List Factors
List the factors of 2312 like so:

1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312

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

1, 4, 289, 1156

Step 3: Divide
Divide 2312 by the largest perfect square you found in the previous step:

2312 / 1156 = 2

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

√1156 = 34

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2312 in its simplest form:


34	√	2

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Decimal Form
Square Root of 2312 in Decimal form rounded to nearest 5 decimals:

48.08326

Exponent Form
Square Root of 2312 written with Exponent instead of Radical:

2312^½ = 34 x 2^½

Simplify Square Root of 2313
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* List of Perfect Squares