Simplify Square Root of 9500

Here we will show you step-by-step how to simplify the square root of 9500. The square root of 9500 can be written as follows:


	√	9500

The √ symbol is called the radical sign. To simplify the square root of 9500 means to get the simplest radical form of √9500.

Step 1: List Factors
List the factors of 9500 like so:

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500

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

1, 4, 25, 100

Step 3: Divide
Divide 9500 by the largest perfect square you found in the previous step:

9500 / 100 = 95

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 9500 in its simplest form:


10	√	95

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Decimal Form
Square Root of 9500 in Decimal form rounded to nearest 5 decimals:

97.46794

Exponent Form
Square Root of 9500 written with Exponent instead of Radical:

9500^½ = 10 x 95^½

Simplify Square Root of 9501
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* List of Perfect Squares