Simplify Square Root of 4604

Here we will show you step-by-step how to simplify the square root of 4604. The square root of 4604 can be written as follows:


	√	4604

The √ symbol is called the radical sign. To simplify the square root of 4604 means to get the simplest radical form of √4604.

Step 1: List Factors
List the factors of 4604 like so:

1, 2, 4, 1151, 2302, 4604

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

1, 4

Step 3: Divide
Divide 4604 by the largest perfect square you found in the previous step:

4604 / 4 = 1151

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4604 in its simplest form:


2	√	1151

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Decimal Form
Square Root of 4604 in Decimal form rounded to nearest 5 decimals:

67.85278

Exponent Form
Square Root of 4604 written with Exponent instead of Radical:

4604^½ = 2 x 1151^½

Simplify Square Root of 4605
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* List of Perfect Squares