Simplify Square Root of 2688

Here we will show you step-by-step how to simplify the square root of 2688. The square root of 2688 can be written as follows:


	√	2688

The √ symbol is called the radical sign. To simplify the square root of 2688 means to get the simplest radical form of √2688.

Step 1: List Factors
List the factors of 2688 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688

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

1, 4, 16, 64

Step 3: Divide
Divide 2688 by the largest perfect square you found in the previous step:

2688 / 64 = 42

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2688 in its simplest form:


8	√	42

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Decimal Form
Square Root of 2688 in Decimal form rounded to nearest 5 decimals:

51.84593

Exponent Form
Square Root of 2688 written with Exponent instead of Radical:

2688^½ = 8 x 42^½

Simplify Square Root of 2689
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* List of Perfect Squares