Simplify Square Root of 5976

Here we will show you step-by-step how to simplify the square root of 5976. The square root of 5976 can be written as follows:


	√	5976

The √ symbol is called the radical sign. To simplify the square root of 5976 means to get the simplest radical form of √5976.

Step 1: List Factors
List the factors of 5976 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976

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

1, 4, 9, 36

Step 3: Divide
Divide 5976 by the largest perfect square you found in the previous step:

5976 / 36 = 166

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 5976 in its simplest form:


6	√	166

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Decimal Form
Square Root of 5976 in Decimal form rounded to nearest 5 decimals:

77.30459

Exponent Form
Square Root of 5976 written with Exponent instead of Radical:

5976^½ = 6 x 166^½

Simplify Square Root of 5977
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* List of Perfect Squares