Simplify Square Root of 3540

Here we will show you step-by-step how to simplify the square root of 3540. The square root of 3540 can be written as follows:


	√	3540

The √ symbol is called the radical sign. To simplify the square root of 3540 means to get the simplest radical form of √3540.

Step 1: List Factors
List the factors of 3540 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540

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

1, 4

Step 3: Divide
Divide 3540 by the largest perfect square you found in the previous step:

3540 / 4 = 885

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 3540 in its simplest form:


2	√	885

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Decimal Form
Square Root of 3540 in Decimal form rounded to nearest 5 decimals:

59.4979

Exponent Form
Square Root of 3540 written with Exponent instead of Radical:

3540^½ = 2 x 885^½

Simplify Square Root of 3541
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* List of Perfect Squares