Simplify Square Root of 8134

Here we will show you step-by-step how to simplify the square root of 8134. The square root of 8134 can be written as follows:


	√	8134

The √ symbol is called the radical sign. To simplify the square root of 8134 means to get the simplest radical form of √8134.

Step 1: List Factors
List the factors of 8134 like so:

1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134

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

1, 49

Step 3: Divide
Divide 8134 by the largest perfect square you found in the previous step:

8134 / 49 = 166

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8134 in its simplest form:


7	√	166

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Decimal Form
Square Root of 8134 in Decimal form rounded to nearest 5 decimals:

90.18869

Exponent Form
Square Root of 8134 written with Exponent instead of Radical:

8134^½ = 7 x 166^½

Simplify Square Root of 8135
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* List of Perfect Squares