Simplify Square Root of 5904

Here we will show you step-by-step how to simplify the square root of 5904. The square root of 5904 can be written as follows:


	√	5904

The √ symbol is called the radical sign. To simplify the square root of 5904 means to get the simplest radical form of √5904.

Step 1: List Factors
List the factors of 5904 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 5904 by the largest perfect square you found in the previous step:

5904 / 144 = 41

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5904 in its simplest form:


12	√	41

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Decimal Form
Square Root of 5904 in Decimal form rounded to nearest 5 decimals:

76.83749

Exponent Form
Square Root of 5904 written with Exponent instead of Radical:

5904^½ = 12 x 41^½

Simplify Square Root of 5905
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* List of Perfect Squares