Simplify Square Root of 4824

Here we will show you step-by-step how to simplify the square root of 4824. The square root of 4824 can be written as follows:


	√	4824

The √ symbol is called the radical sign. To simplify the square root of 4824 means to get the simplest radical form of √4824.

Step 1: List Factors
List the factors of 4824 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824

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

1, 4, 9, 36

Step 3: Divide
Divide 4824 by the largest perfect square you found in the previous step:

4824 / 36 = 134

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 4824 in its simplest form:


6	√	134

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Decimal Form
Square Root of 4824 in Decimal form rounded to nearest 5 decimals:

69.45502

Exponent Form
Square Root of 4824 written with Exponent instead of Radical:

4824^½ = 6 x 134^½

Simplify Square Root of 4825
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* List of Perfect Squares