
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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