Simplify Square Root of 8484

Here we will show you step-by-step how to simplify the square root of 8484. The square root of 8484 can be written as follows:


	√	8484

The √ symbol is called the radical sign. To simplify the square root of 8484 means to get the simplest radical form of √8484.

Step 1: List Factors
List the factors of 8484 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484

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

1, 4

Step 3: Divide
Divide 8484 by the largest perfect square you found in the previous step:

8484 / 4 = 2121

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 8484 in its simplest form:


2	√	2121

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Decimal Form
Square Root of 8484 in Decimal form rounded to nearest 5 decimals:

92.10863

Exponent Form
Square Root of 8484 written with Exponent instead of Radical:

8484^½ = 2 x 2121^½

Simplify Square Root of 8485
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* List of Perfect Squares