Simplify Square Root of 2772

Here we will show you step-by-step how to simplify the square root of 2772. The square root of 2772 can be written as follows:


	√	2772

The √ symbol is called the radical sign. To simplify the square root of 2772 means to get the simplest radical form of √2772.

Step 1: List Factors
List the factors of 2772 like so:

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772

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

1, 4, 9, 36

Step 3: Divide
Divide 2772 by the largest perfect square you found in the previous step:

2772 / 36 = 77

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 2772 in its simplest form:


6	√	77

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Decimal Form
Square Root of 2772 in Decimal form rounded to nearest 5 decimals:

52.64979

Exponent Form
Square Root of 2772 written with Exponent instead of Radical:

2772^½ = 6 x 77^½

Simplify Square Root of 2773
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* List of Perfect Squares