Simplify Square Root of 5508

Here we will show you step-by-step how to simplify the square root of 5508. The square root of 5508 can be written as follows:


	√	5508

The √ symbol is called the radical sign. To simplify the square root of 5508 means to get the simplest radical form of √5508.

Step 1: List Factors
List the factors of 5508 like so:

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 5508 by the largest perfect square you found in the previous step:

5508 / 324 = 17

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5508 in its simplest form:


18	√	17

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Decimal Form
Square Root of 5508 in Decimal form rounded to nearest 5 decimals:

74.2159

Exponent Form
Square Root of 5508 written with Exponent instead of Radical:

5508^½ = 18 x 17^½

Simplify Square Root of 5509
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* List of Perfect Squares