Simplify Square Root of 5712

Here we will show you step-by-step how to simplify the square root of 5712. The square root of 5712 can be written as follows:


	√	5712

The √ symbol is called the radical sign. To simplify the square root of 5712 means to get the simplest radical form of √5712.

Step 1: List Factors
List the factors of 5712 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712

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

1, 4, 16

Step 3: Divide
Divide 5712 by the largest perfect square you found in the previous step:

5712 / 16 = 357

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 5712 in its simplest form:


4	√	357

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Decimal Form
Square Root of 5712 in Decimal form rounded to nearest 5 decimals:

75.57777

Exponent Form
Square Root of 5712 written with Exponent instead of Radical:

5712^½ = 4 x 357^½

Simplify Square Root of 5713
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* List of Perfect Squares