Simplify Square Root of 4784

Here we will show you step-by-step how to simplify the square root of 4784. The square root of 4784 can be written as follows:


	√	4784

The √ symbol is called the radical sign. To simplify the square root of 4784 means to get the simplest radical form of √4784.

Step 1: List Factors
List the factors of 4784 like so:

1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784

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

1, 4, 16

Step 3: Divide
Divide 4784 by the largest perfect square you found in the previous step:

4784 / 16 = 299

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4784 in its simplest form:


4	√	299

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Decimal Form
Square Root of 4784 in Decimal form rounded to nearest 5 decimals:

69.16647

Exponent Form
Square Root of 4784 written with Exponent instead of Radical:

4784^½ = 4 x 299^½

Simplify Square Root of 4785
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* List of Perfect Squares