Simplify Square Root of 5936

Here we will show you step-by-step how to simplify the square root of 5936. The square root of 5936 can be written as follows:


	√	5936

The √ symbol is called the radical sign. To simplify the square root of 5936 means to get the simplest radical form of √5936.

Step 1: List Factors
List the factors of 5936 like so:

1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936

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

1, 4, 16

Step 3: Divide
Divide 5936 by the largest perfect square you found in the previous step:

5936 / 16 = 371

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5936 in its simplest form:


4	√	371

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Decimal Form
Square Root of 5936 in Decimal form rounded to nearest 5 decimals:

77.04544

Exponent Form
Square Root of 5936 written with Exponent instead of Radical:

5936^½ = 4 x 371^½

Simplify Square Root of 5937
The answer to Simplify Square Root of 5936 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares