Simplify Square Root of 5952

Here we will show you step-by-step how to simplify the square root of 5952. The square root of 5952 can be written as follows:


	√	5952

The √ symbol is called the radical sign. To simplify the square root of 5952 means to get the simplest radical form of √5952.

Step 1: List Factors
List the factors of 5952 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952

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

1, 4, 16, 64

Step 3: Divide
Divide 5952 by the largest perfect square you found in the previous step:

5952 / 64 = 93

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5952 in its simplest form:


8	√	93

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Decimal Form
Square Root of 5952 in Decimal form rounded to nearest 5 decimals:

77.14921

Exponent Form
Square Root of 5952 written with Exponent instead of Radical:

5952^½ = 8 x 93^½

Simplify Square Root of 5953
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* List of Perfect Squares