Simplify Square Root of 8024

Here we will show you step-by-step how to simplify the square root of 8024. The square root of 8024 can be written as follows:


	√	8024

The √ symbol is called the radical sign. To simplify the square root of 8024 means to get the simplest radical form of √8024.

Step 1: List Factors
List the factors of 8024 like so:

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

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

1, 4

Step 3: Divide
Divide 8024 by the largest perfect square you found in the previous step:

8024 / 4 = 2006

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 8024 in its simplest form:


2	√	2006

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Decimal Form
Square Root of 8024 in Decimal form rounded to nearest 5 decimals:

89.57678

Exponent Form
Square Root of 8024 written with Exponent instead of Radical:

8024^½ = 2 x 2006^½

Simplify Square Root of 8025
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* List of Perfect Squares