Simplify Square Root of 4640

Here we will show you step-by-step how to simplify the square root of 4640. The square root of 4640 can be written as follows:


	√	4640

The √ symbol is called the radical sign. To simplify the square root of 4640 means to get the simplest radical form of √4640.

Step 1: List Factors
List the factors of 4640 like so:

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640

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

1, 4, 16

Step 3: Divide
Divide 4640 by the largest perfect square you found in the previous step:

4640 / 16 = 290

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4640 in its simplest form:


4	√	290

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Decimal Form
Square Root of 4640 in Decimal form rounded to nearest 5 decimals:

68.11755

Exponent Form
Square Root of 4640 written with Exponent instead of Radical:

4640^½ = 4 x 290^½

Simplify Square Root of 4641
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* List of Perfect Squares