Simplify Square Root of 6016

Here we will show you step-by-step how to simplify the square root of 6016. The square root of 6016 can be written as follows:


	√	6016

The √ symbol is called the radical sign. To simplify the square root of 6016 means to get the simplest radical form of √6016.

Step 1: List Factors
List the factors of 6016 like so:

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016

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

1, 4, 16, 64

Step 3: Divide
Divide 6016 by the largest perfect square you found in the previous step:

6016 / 64 = 94

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 6016 in its simplest form:


8	√	94

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Decimal Form
Square Root of 6016 in Decimal form rounded to nearest 5 decimals:

77.56288

Exponent Form
Square Root of 6016 written with Exponent instead of Radical:

6016^½ = 8 x 94^½

Simplify Square Root of 6017
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* List of Perfect Squares