Simplify Square Root of 5940

Here we will show you step-by-step how to simplify the square root of 5940. The square root of 5940 can be written as follows:


	√	5940

The √ symbol is called the radical sign. To simplify the square root of 5940 means to get the simplest radical form of √5940.

Step 1: List Factors
List the factors of 5940 like so:

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940

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

1, 4, 9, 36

Step 3: Divide
Divide 5940 by the largest perfect square you found in the previous step:

5940 / 36 = 165

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 5940 in its simplest form:


6	√	165

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Decimal Form
Square Root of 5940 in Decimal form rounded to nearest 5 decimals:

77.0714

Exponent Form
Square Root of 5940 written with Exponent instead of Radical:

5940^½ = 6 x 165^½

Simplify Square Root of 5941
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* List of Perfect Squares