Simplify Square Root of 3072




Here we will show you step-by-step how to simplify the square root of 3072. The square root of 3072 can be written as follows:
     
  3072  

The √ symbol is called the radical sign. To simplify the square root of 3072 means to get the simplest radical form of √3072.

Step 1: List Factors
List the factors of 3072 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072

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

1, 4, 16, 64, 256, 1024

Step 3: Divide
Divide 3072 by the largest perfect square you found in the previous step:

3072 / 1024 = 3

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

√1024 = 32

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3072 in its simplest form:
     
32 3  


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Decimal Form
Square Root of 3072 in Decimal form rounded to nearest 5 decimals:

55.42563

Exponent Form
Square Root of 3072 written with Exponent instead of Radical:

3072½ = 32 x 3½

Simplify Square Root of 3073
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* List of Perfect Squares




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