Simplify Square Root of 6552

Here we will show you step-by-step how to simplify the square root of 6552. The square root of 6552 can be written as follows:


	√	6552

The √ symbol is called the radical sign. To simplify the square root of 6552 means to get the simplest radical form of √6552.

Step 1: List Factors
List the factors of 6552 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552

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

1, 4, 9, 36

Step 3: Divide
Divide 6552 by the largest perfect square you found in the previous step:

6552 / 36 = 182

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6552 in its simplest form:


6	√	182

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Decimal Form
Square Root of 6552 in Decimal form rounded to nearest 5 decimals:

80.94443

Exponent Form
Square Root of 6552 written with Exponent instead of Radical:

6552^½ = 6 x 182^½

Simplify Square Root of 6553
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* List of Perfect Squares