Simplify Square Root of 4872

Here we will show you step-by-step how to simplify the square root of 4872. The square root of 4872 can be written as follows:


	√	4872

The √ symbol is called the radical sign. To simplify the square root of 4872 means to get the simplest radical form of √4872.

Step 1: List Factors
List the factors of 4872 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

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

1, 4

Step 3: Divide
Divide 4872 by the largest perfect square you found in the previous step:

4872 / 4 = 1218

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 4872 in its simplest form:


2	√	1218

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Decimal Form
Square Root of 4872 in Decimal form rounded to nearest 5 decimals:

69.79971

Exponent Form
Square Root of 4872 written with Exponent instead of Radical:

4872^½ = 2 x 1218^½

Simplify Square Root of 4873
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* List of Perfect Squares