Simplify Square Root of 5304

Here we will show you step-by-step how to simplify the square root of 5304. The square root of 5304 can be written as follows:


	√	5304

The √ symbol is called the radical sign. To simplify the square root of 5304 means to get the simplest radical form of √5304.

Step 1: List Factors
List the factors of 5304 like so:

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304

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

1, 4

Step 3: Divide
Divide 5304 by the largest perfect square you found in the previous step:

5304 / 4 = 1326

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 5304 in its simplest form:


2	√	1326

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Decimal Form
Square Root of 5304 in Decimal form rounded to nearest 5 decimals:

72.82857

Exponent Form
Square Root of 5304 written with Exponent instead of Radical:

5304^½ = 2 x 1326^½

Simplify Square Root of 5305
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* List of Perfect Squares