Simplify Square Root of 4752

Here we will show you step-by-step how to simplify the square root of 4752. The square root of 4752 can be written as follows:


	√	4752

The √ symbol is called the radical sign. To simplify the square root of 4752 means to get the simplest radical form of √4752.

Step 1: List Factors
List the factors of 4752 like so:

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 4752 by the largest perfect square you found in the previous step:

4752 / 144 = 33

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4752 in its simplest form:


12	√	33

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Decimal Form
Square Root of 4752 in Decimal form rounded to nearest 5 decimals:

68.93475

Exponent Form
Square Root of 4752 written with Exponent instead of Radical:

4752^½ = 12 x 33^½

Simplify Square Root of 4753
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* List of Perfect Squares