Simplify Square Root of 8124

Here we will show you step-by-step how to simplify the square root of 8124. The square root of 8124 can be written as follows:


	√	8124

The √ symbol is called the radical sign. To simplify the square root of 8124 means to get the simplest radical form of √8124.

Step 1: List Factors
List the factors of 8124 like so:

1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124

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

1, 4

Step 3: Divide
Divide 8124 by the largest perfect square you found in the previous step:

8124 / 4 = 2031

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 8124 in its simplest form:


2	√	2031

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Decimal Form
Square Root of 8124 in Decimal form rounded to nearest 5 decimals:

90.13323

Exponent Form
Square Root of 8124 written with Exponent instead of Radical:

8124^½ = 2 x 2031^½

Simplify Square Root of 8125
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* List of Perfect Squares