Simplify Square Root of 5856

Here we will show you step-by-step how to simplify the square root of 5856. The square root of 5856 can be written as follows:


	√	5856

The √ symbol is called the radical sign. To simplify the square root of 5856 means to get the simplest radical form of √5856.

Step 1: List Factors
List the factors of 5856 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856

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

1, 4, 16

Step 3: Divide
Divide 5856 by the largest perfect square you found in the previous step:

5856 / 16 = 366

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5856 in its simplest form:


4	√	366

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Decimal Form
Square Root of 5856 in Decimal form rounded to nearest 5 decimals:

76.52451

Exponent Form
Square Root of 5856 written with Exponent instead of Radical:

5856^½ = 4 x 366^½

Simplify Square Root of 5857
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* List of Perfect Squares