Simplify Square Root of 9200

Here we will show you step-by-step how to simplify the square root of 9200. The square root of 9200 can be written as follows:


	√	9200

The √ symbol is called the radical sign. To simplify the square root of 9200 means to get the simplest radical form of √9200.

Step 1: List Factors
List the factors of 9200 like so:

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 9200 by the largest perfect square you found in the previous step:

9200 / 400 = 23

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9200 in its simplest form:


20	√	23

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Decimal Form
Square Root of 9200 in Decimal form rounded to nearest 5 decimals:

95.91663

Exponent Form
Square Root of 9200 written with Exponent instead of Radical:

9200^½ = 20 x 23^½

Simplify Square Root of 9201
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* List of Perfect Squares