Simplify Square Root of 4842

Here we will show you step-by-step how to simplify the square root of 4842. The square root of 4842 can be written as follows:


	√	4842

The √ symbol is called the radical sign. To simplify the square root of 4842 means to get the simplest radical form of √4842.

Step 1: List Factors
List the factors of 4842 like so:

1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842

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

1, 9

Step 3: Divide
Divide 4842 by the largest perfect square you found in the previous step:

4842 / 9 = 538

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4842 in its simplest form:


3	√	538

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Decimal Form
Square Root of 4842 in Decimal form rounded to nearest 5 decimals:

69.58448

Exponent Form
Square Root of 4842 written with Exponent instead of Radical:

4842^½ = 3 x 538^½

Simplify Square Root of 4843
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* List of Perfect Squares