Simplify Square Root of 3848

Here we will show you step-by-step how to simplify the square root of 3848. The square root of 3848 can be written as follows:


	√	3848

The √ symbol is called the radical sign. To simplify the square root of 3848 means to get the simplest radical form of √3848.

Step 1: List Factors
List the factors of 3848 like so:

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848

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

1, 4

Step 3: Divide
Divide 3848 by the largest perfect square you found in the previous step:

3848 / 4 = 962

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 3848 in its simplest form:


2	√	962

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Decimal Form
Square Root of 3848 in Decimal form rounded to nearest 5 decimals:

62.03225

Exponent Form
Square Root of 3848 written with Exponent instead of Radical:

3848^½ = 2 x 962^½

Simplify Square Root of 3849
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* List of Perfect Squares