Simplify Square Root of 8036

Here we will show you step-by-step how to simplify the square root of 8036. The square root of 8036 can be written as follows:


	√	8036

The √ symbol is called the radical sign. To simplify the square root of 8036 means to get the simplest radical form of √8036.

Step 1: List Factors
List the factors of 8036 like so:

1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036

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

1, 4, 49, 196

Step 3: Divide
Divide 8036 by the largest perfect square you found in the previous step:

8036 / 196 = 41

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8036 in its simplest form:


14	√	41

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Decimal Form
Square Root of 8036 in Decimal form rounded to nearest 5 decimals:

89.64374

Exponent Form
Square Root of 8036 written with Exponent instead of Radical:

8036^½ = 14 x 41^½

Simplify Square Root of 8037
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* List of Perfect Squares