Simplify Square Root of 2404

Here we will show you step-by-step how to simplify the square root of 2404. The square root of 2404 can be written as follows:


	√	2404

The √ symbol is called the radical sign. To simplify the square root of 2404 means to get the simplest radical form of √2404.

Step 1: List Factors
List the factors of 2404 like so:

1, 2, 4, 601, 1202, 2404

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

1, 4

Step 3: Divide
Divide 2404 by the largest perfect square you found in the previous step:

2404 / 4 = 601

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 2404 in its simplest form:


2	√	601

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Decimal Form
Square Root of 2404 in Decimal form rounded to nearest 5 decimals:

49.0306

Exponent Form
Square Root of 2404 written with Exponent instead of Radical:

2404^½ = 2 x 601^½

Simplify Square Root of 2405
The answer to Simplify Square Root of 2404 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares