Simplify Square Root of 8900

Here we will show you step-by-step how to simplify the square root of 8900. The square root of 8900 can be written as follows:


	√	8900

The √ symbol is called the radical sign. To simplify the square root of 8900 means to get the simplest radical form of √8900.

Step 1: List Factors
List the factors of 8900 like so:

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

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

1, 4, 25, 100

Step 3: Divide
Divide 8900 by the largest perfect square you found in the previous step:

8900 / 100 = 89

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8900 in its simplest form:


10	√	89

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Decimal Form
Square Root of 8900 in Decimal form rounded to nearest 5 decimals:

94.33981

Exponent Form
Square Root of 8900 written with Exponent instead of Radical:

8900^½ = 10 x 89^½

Simplify Square Root of 8901
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* List of Perfect Squares