Simplify Square Root of 6264

Here we will show you step-by-step how to simplify the square root of 6264. The square root of 6264 can be written as follows:


	√	6264

The √ symbol is called the radical sign. To simplify the square root of 6264 means to get the simplest radical form of √6264.

Step 1: List Factors
List the factors of 6264 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264

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

1, 4, 9, 36

Step 3: Divide
Divide 6264 by the largest perfect square you found in the previous step:

6264 / 36 = 174

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 6264 in its simplest form:


6	√	174

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Decimal Form
Square Root of 6264 in Decimal form rounded to nearest 5 decimals:

79.14544

Exponent Form
Square Root of 6264 written with Exponent instead of Radical:

6264^½ = 6 x 174^½

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* List of Perfect Squares