Simplify Square Root of 8424

Here we will show you step-by-step how to simplify the square root of 8424. The square root of 8424 can be written as follows:


	√	8424

The √ symbol is called the radical sign. To simplify the square root of 8424 means to get the simplest radical form of √8424.

Step 1: List Factors
List the factors of 8424 like so:

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 8424 by the largest perfect square you found in the previous step:

8424 / 324 = 26

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8424 in its simplest form:


18	√	26

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Decimal Form
Square Root of 8424 in Decimal form rounded to nearest 5 decimals:

91.78235

Exponent Form
Square Root of 8424 written with Exponent instead of Radical:

8424^½ = 18 x 26^½

Simplify Square Root of 8425
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* List of Perfect Squares