Simplify Square Root of 5772

Here we will show you step-by-step how to simplify the square root of 5772. The square root of 5772 can be written as follows:


	√	5772

The √ symbol is called the radical sign. To simplify the square root of 5772 means to get the simplest radical form of √5772.

Step 1: List Factors
List the factors of 5772 like so:

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772

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

1, 4

Step 3: Divide
Divide 5772 by the largest perfect square you found in the previous step:

5772 / 4 = 1443

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5772 in its simplest form:


2	√	1443

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Decimal Form
Square Root of 5772 in Decimal form rounded to nearest 5 decimals:

75.97368

Exponent Form
Square Root of 5772 written with Exponent instead of Radical:

5772^½ = 2 x 1443^½

Simplify Square Root of 5773
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* List of Perfect Squares