Simplify Square Root of 6624

Here we will show you step-by-step how to simplify the square root of 6624. The square root of 6624 can be written as follows:


	√	6624

The √ symbol is called the radical sign. To simplify the square root of 6624 means to get the simplest radical form of √6624.

Step 1: List Factors
List the factors of 6624 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 6624 by the largest perfect square you found in the previous step:

6624 / 144 = 46

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6624 in its simplest form:


12	√	46

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Decimal Form
Square Root of 6624 in Decimal form rounded to nearest 5 decimals:

81.38796

Exponent Form
Square Root of 6624 written with Exponent instead of Radical:

6624^½ = 12 x 46^½

Simplify Square Root of 6625
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* List of Perfect Squares