Simplify Square Root of 8136

Here we will show you step-by-step how to simplify the square root of 8136. The square root of 8136 can be written as follows:


	√	8136

The √ symbol is called the radical sign. To simplify the square root of 8136 means to get the simplest radical form of √8136.

Step 1: List Factors
List the factors of 8136 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136

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

1, 4, 9, 36

Step 3: Divide
Divide 8136 by the largest perfect square you found in the previous step:

8136 / 36 = 226

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8136 in its simplest form:


6	√	226

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Decimal Form
Square Root of 8136 in Decimal form rounded to nearest 5 decimals:

90.19978

Exponent Form
Square Root of 8136 written with Exponent instead of Radical:

8136^½ = 6 x 226^½

Simplify Square Root of 8137
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* List of Perfect Squares