Simplify Square Root of 4048

Here we will show you step-by-step how to simplify the square root of 4048. The square root of 4048 can be written as follows:


	√	4048

The √ symbol is called the radical sign. To simplify the square root of 4048 means to get the simplest radical form of √4048.

Step 1: List Factors
List the factors of 4048 like so:

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048

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

1, 4, 16

Step 3: Divide
Divide 4048 by the largest perfect square you found in the previous step:

4048 / 16 = 253

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 4048 in its simplest form:


4	√	253

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Decimal Form
Square Root of 4048 in Decimal form rounded to nearest 5 decimals:

63.62389

Exponent Form
Square Root of 4048 written with Exponent instead of Radical:

4048^½ = 4 x 253^½

Simplify Square Root of 4049
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* List of Perfect Squares