Simplify Square Root of 4788

Here we will show you step-by-step how to simplify the square root of 4788. The square root of 4788 can be written as follows:


	√	4788

The √ symbol is called the radical sign. To simplify the square root of 4788 means to get the simplest radical form of √4788.

Step 1: List Factors
List the factors of 4788 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788

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

1, 4, 9, 36

Step 3: Divide
Divide 4788 by the largest perfect square you found in the previous step:

4788 / 36 = 133

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 4788 in its simplest form:


6	√	133

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Decimal Form
Square Root of 4788 in Decimal form rounded to nearest 5 decimals:

69.19538

Exponent Form
Square Root of 4788 written with Exponent instead of Radical:

4788^½ = 6 x 133^½

Simplify Square Root of 4789
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* List of Perfect Squares