Simplify Square Root of 6144

Here we will show you step-by-step how to simplify the square root of 6144. The square root of 6144 can be written as follows:


	√	6144

The √ symbol is called the radical sign. To simplify the square root of 6144 means to get the simplest radical form of √6144.

Step 1: List Factors
List the factors of 6144 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144

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 6144 by the largest perfect square you found in the previous step:

6144 / 1024 = 6

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 6144 in its simplest form:


32	√	6

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Decimal Form
Square Root of 6144 in Decimal form rounded to nearest 5 decimals:

78.38367

Exponent Form
Square Root of 6144 written with Exponent instead of Radical:

6144^½ = 32 x 6^½

Simplify Square Root of 6145
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* List of Perfect Squares