Simplify Square Root of 6288

Here we will show you step-by-step how to simplify the square root of 6288. The square root of 6288 can be written as follows:


	√	6288

The √ symbol is called the radical sign. To simplify the square root of 6288 means to get the simplest radical form of √6288.

Step 1: List Factors
List the factors of 6288 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288

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

1, 4, 16

Step 3: Divide
Divide 6288 by the largest perfect square you found in the previous step:

6288 / 16 = 393

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6288 in its simplest form:


4	√	393

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Decimal Form
Square Root of 6288 in Decimal form rounded to nearest 5 decimals:

79.29691

Exponent Form
Square Root of 6288 written with Exponent instead of Radical:

6288^½ = 4 x 393^½

Simplify Square Root of 6289
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* List of Perfect Squares