Simplify Square Root of 9824

Here we will show you step-by-step how to simplify the square root of 9824. The square root of 9824 can be written as follows:


	√	9824

The √ symbol is called the radical sign. To simplify the square root of 9824 means to get the simplest radical form of √9824.

Step 1: List Factors
List the factors of 9824 like so:

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824

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

1, 4, 16

Step 3: Divide
Divide 9824 by the largest perfect square you found in the previous step:

9824 / 16 = 614

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9824 in its simplest form:


4	√	614

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Decimal Form
Square Root of 9824 in Decimal form rounded to nearest 5 decimals:

99.11609

Exponent Form
Square Root of 9824 written with Exponent instead of Radical:

9824^½ = 4 x 614^½

Simplify Square Root of 9825
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* List of Perfect Squares