Simplify Square Root of 9900

Here we will show you step-by-step how to simplify the square root of 9900. The square root of 9900 can be written as follows:


	√	9900

The √ symbol is called the radical sign. To simplify the square root of 9900 means to get the simplest radical form of √9900.

Step 1: List Factors
List the factors of 9900 like so:

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900

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

1, 4, 9, 25, 36, 100, 225, 900

Step 3: Divide
Divide 9900 by the largest perfect square you found in the previous step:

9900 / 900 = 11

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

√900 = 30

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9900 in its simplest form:


30	√	11

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Decimal Form
Square Root of 9900 in Decimal form rounded to nearest 5 decimals:

99.49874

Exponent Form
Square Root of 9900 written with Exponent instead of Radical:

9900^½ = 30 x 11^½

Simplify Square Root of 9901
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* List of Perfect Squares