Simplify Square Root of 2408

Here we will show you step-by-step how to simplify the square root of 2408. The square root of 2408 can be written as follows:


	√	2408

The √ symbol is called the radical sign. To simplify the square root of 2408 means to get the simplest radical form of √2408.

Step 1: List Factors
List the factors of 2408 like so:

1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408

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

1, 4

Step 3: Divide
Divide 2408 by the largest perfect square you found in the previous step:

2408 / 4 = 602

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 2408 in its simplest form:


2	√	602

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Decimal Form
Square Root of 2408 in Decimal form rounded to nearest 5 decimals:

49.07138

Exponent Form
Square Root of 2408 written with Exponent instead of Radical:

2408^½ = 2 x 602^½

Simplify Square Root of 2409
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* List of Perfect Squares