Simplify Square Root of 7604

Here we will show you step-by-step how to simplify the square root of 7604. The square root of 7604 can be written as follows:


	√	7604

The √ symbol is called the radical sign. To simplify the square root of 7604 means to get the simplest radical form of √7604.

Step 1: List Factors
List the factors of 7604 like so:

1, 2, 4, 1901, 3802, 7604

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

1, 4

Step 3: Divide
Divide 7604 by the largest perfect square you found in the previous step:

7604 / 4 = 1901

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 7604 in its simplest form:


2	√	1901

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Decimal Form
Square Root of 7604 in Decimal form rounded to nearest 5 decimals:

87.20092

Exponent Form
Square Root of 7604 written with Exponent instead of Radical:

7604^½ = 2 x 1901^½

Simplify Square Root of 7605
The answer to Simplify Square Root of 7604 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares