Simplify Square Root of 3608

Here we will show you step-by-step how to simplify the square root of 3608. The square root of 3608 can be written as follows:


	√	3608

The √ symbol is called the radical sign. To simplify the square root of 3608 means to get the simplest radical form of √3608.

Step 1: List Factors
List the factors of 3608 like so:

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

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

1, 4

Step 3: Divide
Divide 3608 by the largest perfect square you found in the previous step:

3608 / 4 = 902

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 3608 in its simplest form:


2	√	902

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Decimal Form
Square Root of 3608 in Decimal form rounded to nearest 5 decimals:

60.06663

Exponent Form
Square Root of 3608 written with Exponent instead of Radical:

3608^½ = 2 x 902^½

Simplify Square Root of 3609
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* List of Perfect Squares