Simplify Square Root of 5404

Here we will show you step-by-step how to simplify the square root of 5404. The square root of 5404 can be written as follows:


	√	5404

The √ symbol is called the radical sign. To simplify the square root of 5404 means to get the simplest radical form of √5404.

Step 1: List Factors
List the factors of 5404 like so:

1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404

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

1, 4

Step 3: Divide
Divide 5404 by the largest perfect square you found in the previous step:

5404 / 4 = 1351

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 5404 in its simplest form:


2	√	1351

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Decimal Form
Square Root of 5404 in Decimal form rounded to nearest 5 decimals:

73.5119

Exponent Form
Square Root of 5404 written with Exponent instead of Radical:

5404^½ = 2 x 1351^½

Simplify Square Root of 5405
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* List of Perfect Squares