Simplify Square Root of 8048

Here we will show you step-by-step how to simplify the square root of 8048. The square root of 8048 can be written as follows:


	√	8048

The √ symbol is called the radical sign. To simplify the square root of 8048 means to get the simplest radical form of √8048.

Step 1: List Factors
List the factors of 8048 like so:

1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048

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

1, 4, 16

Step 3: Divide
Divide 8048 by the largest perfect square you found in the previous step:

8048 / 16 = 503

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 8048 in its simplest form:


4	√	503

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Decimal Form
Square Root of 8048 in Decimal form rounded to nearest 5 decimals:

89.71065

Exponent Form
Square Root of 8048 written with Exponent instead of Radical:

8048^½ = 4 x 503^½

Simplify Square Root of 8049
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* List of Perfect Squares