Simplify Square Root of 5764




Here we will show you step-by-step how to simplify the square root of 5764. The square root of 5764 can be written as follows:
     
  5764  

The √ symbol is called the radical sign. To simplify the square root of 5764 means to get the simplest radical form of √5764.

Step 1: List Factors
List the factors of 5764 like so:

1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

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

1, 4

Step 3: Divide
Divide 5764 by the largest perfect square you found in the previous step:

5764 / 4 = 1441

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 5764 in its simplest form:
     
2 1441  


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Decimal Form
Square Root of 5764 in Decimal form rounded to nearest 5 decimals:

75.92101

Exponent Form
Square Root of 5764 written with Exponent instead of Radical:

5764½ = 2 x 1441½

Simplify Square Root of 5765
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* List of Perfect Squares




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