Simplify Square Root of 8436

Here we will show you step-by-step how to simplify the square root of 8436. The square root of 8436 can be written as follows:


	√	8436

The √ symbol is called the radical sign. To simplify the square root of 8436 means to get the simplest radical form of √8436.

Step 1: List Factors
List the factors of 8436 like so:

1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436

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

1, 4

Step 3: Divide
Divide 8436 by the largest perfect square you found in the previous step:

8436 / 4 = 2109

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 8436 in its simplest form:


2	√	2109

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Decimal Form
Square Root of 8436 in Decimal form rounded to nearest 5 decimals:

91.8477

Exponent Form
Square Root of 8436 written with Exponent instead of Radical:

8436^½ = 2 x 2109^½

Simplify Square Root of 8437
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* List of Perfect Squares