Simplify Square Root of 5792

Here we will show you step-by-step how to simplify the square root of 5792. The square root of 5792 can be written as follows:


	√	5792

The √ symbol is called the radical sign. To simplify the square root of 5792 means to get the simplest radical form of √5792.

Step 1: List Factors
List the factors of 5792 like so:

1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792

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

1, 4, 16

Step 3: Divide
Divide 5792 by the largest perfect square you found in the previous step:

5792 / 16 = 362

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 5792 in its simplest form:


4	√	362

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Decimal Form
Square Root of 5792 in Decimal form rounded to nearest 5 decimals:

76.10519

Exponent Form
Square Root of 5792 written with Exponent instead of Radical:

5792^½ = 4 x 362^½

Simplify Square Root of 5793
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* List of Perfect Squares