Simplify Square Root of 5824

Here we will show you step-by-step how to simplify the square root of 5824. The square root of 5824 can be written as follows:


	√	5824

The √ symbol is called the radical sign. To simplify the square root of 5824 means to get the simplest radical form of √5824.

Step 1: List Factors
List the factors of 5824 like so:

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824

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

1, 4, 16, 64

Step 3: Divide
Divide 5824 by the largest perfect square you found in the previous step:

5824 / 64 = 91

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5824 in its simplest form:


8	√	91

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Decimal Form
Square Root of 5824 in Decimal form rounded to nearest 5 decimals:

76.31514

Exponent Form
Square Root of 5824 written with Exponent instead of Radical:

5824^½ = 8 x 91^½

Simplify Square Root of 5825
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* List of Perfect Squares