Simplify Square Root of 5864

Here we will show you step-by-step how to simplify the square root of 5864. The square root of 5864 can be written as follows:


	√	5864

The √ symbol is called the radical sign. To simplify the square root of 5864 means to get the simplest radical form of √5864.

Step 1: List Factors
List the factors of 5864 like so:

1, 2, 4, 8, 733, 1466, 2932, 5864

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

1, 4

Step 3: Divide
Divide 5864 by the largest perfect square you found in the previous step:

5864 / 4 = 1466

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 5864 in its simplest form:


2	√	1466

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Decimal Form
Square Root of 5864 in Decimal form rounded to nearest 5 decimals:

76.57676

Exponent Form
Square Root of 5864 written with Exponent instead of Radical:

5864^½ = 2 x 1466^½

Simplify Square Root of 5865
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* List of Perfect Squares