Simplify Square Root of 9904

Here we will show you step-by-step how to simplify the square root of 9904. The square root of 9904 can be written as follows:


	√	9904

The √ symbol is called the radical sign. To simplify the square root of 9904 means to get the simplest radical form of √9904.

Step 1: List Factors
List the factors of 9904 like so:

1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904

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

1, 4, 16

Step 3: Divide
Divide 9904 by the largest perfect square you found in the previous step:

9904 / 16 = 619

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 9904 in its simplest form:


4	√	619

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Decimal Form
Square Root of 9904 in Decimal form rounded to nearest 5 decimals:

99.51884

Exponent Form
Square Root of 9904 written with Exponent instead of Radical:

9904^½ = 4 x 619^½

Simplify Square Root of 9905
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* List of Perfect Squares