Simplify Square Root of 540

Here we will show you step-by-step how to simplify the square root of 540. The square root of 540 can be written as follows:


	√	540

The √ symbol is called the radical sign. To simplify the square root of 540 means to get the simplest radical form of √540.

Step 1: List Factors
List the factors of 540 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

1, 4, 9, 36

Step 3: Divide
Divide 540 by the largest perfect square you found in the previous step:

540 / 36 = 15

Step 4: Calculate
Calculate the square root of the largest perfect square:

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 540 in its simplest form:


6	√	15

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Decimal Form
Square Root of 540 in Decimal form rounded to nearest 5 decimals:

23.2379

Exponent Form
Square Root of 540 written with Exponent instead of Radical:

540^½ = 6 x 15^½

Simplify Square Root of 541
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* List of Perfect Squares