Simplify Square Root of 8064

Here we will show you step-by-step how to simplify the square root of 8064. The square root of 8064 can be written as follows:


	√	8064

The √ symbol is called the radical sign. To simplify the square root of 8064 means to get the simplest radical form of √8064.

Step 1: List Factors
List the factors of 8064 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 8064 by the largest perfect square you found in the previous step:

8064 / 576 = 14

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8064 in its simplest form:


24	√	14

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Decimal Form
Square Root of 8064 in Decimal form rounded to nearest 5 decimals:

89.79978

Exponent Form
Square Root of 8064 written with Exponent instead of Radical:

8064^½ = 24 x 14^½

Simplify Square Root of 8065
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* List of Perfect Squares