Simplify Square Root of 2364




Here we will show you step-by-step how to simplify the square root of 2364. The square root of 2364 can be written as follows:
     
  2364  

The √ symbol is called the radical sign. To simplify the square root of 2364 means to get the simplest radical form of √2364.

Step 1: List Factors
List the factors of 2364 like so:

1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364

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

1, 4

Step 3: Divide
Divide 2364 by the largest perfect square you found in the previous step:

2364 / 4 = 591

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 2364 in its simplest form:
     
2 591  


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Decimal Form
Square Root of 2364 in Decimal form rounded to nearest 5 decimals:

48.62098

Exponent Form
Square Root of 2364 written with Exponent instead of Radical:

2364½ = 2 x 591½

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* List of Perfect Squares




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