Simplify Square Root of 5604

Here we will show you step-by-step how to simplify the square root of 5604. The square root of 5604 can be written as follows:


	√	5604

The √ symbol is called the radical sign. To simplify the square root of 5604 means to get the simplest radical form of √5604.

Step 1: List Factors
List the factors of 5604 like so:

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604

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

1, 4

Step 3: Divide
Divide 5604 by the largest perfect square you found in the previous step:

5604 / 4 = 1401

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 5604 in its simplest form:


2	√	1401

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Decimal Form
Square Root of 5604 in Decimal form rounded to nearest 5 decimals:

74.85987

Exponent Form
Square Root of 5604 written with Exponent instead of Radical:

5604^½ = 2 x 1401^½

Simplify Square Root of 5605
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* List of Perfect Squares