Simplify Square Root of 3624

Here we will show you step-by-step how to simplify the square root of 3624. The square root of 3624 can be written as follows:


	√	3624

The √ symbol is called the radical sign. To simplify the square root of 3624 means to get the simplest radical form of √3624.

Step 1: List Factors
List the factors of 3624 like so:

1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624

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

1, 4

Step 3: Divide
Divide 3624 by the largest perfect square you found in the previous step:

3624 / 4 = 906

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 3624 in its simplest form:


2	√	906

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Decimal Form
Square Root of 3624 in Decimal form rounded to nearest 5 decimals:

60.19967

Exponent Form
Square Root of 3624 written with Exponent instead of Radical:

3624^½ = 2 x 906^½

Simplify Square Root of 3625
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* List of Perfect Squares