Simplify Square Root of 2356

Here we will show you step-by-step how to simplify the square root of 2356. The square root of 2356 can be written as follows:


	√	2356

The √ symbol is called the radical sign. To simplify the square root of 2356 means to get the simplest radical form of √2356.

Step 1: List Factors
List the factors of 2356 like so:

1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356

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

1, 4

Step 3: Divide
Divide 2356 by the largest perfect square you found in the previous step:

2356 / 4 = 589

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2356 in its simplest form:


2	√	589

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Decimal Form
Square Root of 2356 in Decimal form rounded to nearest 5 decimals:

48.53864

Exponent Form
Square Root of 2356 written with Exponent instead of Radical:

2356^½ = 2 x 589^½

Simplify Square Root of 2357
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* List of Perfect Squares