Simplify Square Root of 4672

Here we will show you step-by-step how to simplify the square root of 4672. The square root of 4672 can be written as follows:


	√	4672

The √ symbol is called the radical sign. To simplify the square root of 4672 means to get the simplest radical form of √4672.

Step 1: List Factors
List the factors of 4672 like so:

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

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

1, 4, 16, 64

Step 3: Divide
Divide 4672 by the largest perfect square you found in the previous step:

4672 / 64 = 73

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 4672 in its simplest form:


8	√	73

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Decimal Form
Square Root of 4672 in Decimal form rounded to nearest 5 decimals:

68.35203

Exponent Form
Square Root of 4672 written with Exponent instead of Radical:

4672^½ = 8 x 73^½

Simplify Square Root of 4673
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* List of Perfect Squares