Simplify Square Root of 9250

Here we will show you step-by-step how to simplify the square root of 9250. The square root of 9250 can be written as follows:


	√	9250

The √ symbol is called the radical sign. To simplify the square root of 9250 means to get the simplest radical form of √9250.

Step 1: List Factors
List the factors of 9250 like so:

1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250

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

1, 25

Step 3: Divide
Divide 9250 by the largest perfect square you found in the previous step:

9250 / 25 = 370

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9250 in its simplest form:


5	√	370

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Decimal Form
Square Root of 9250 in Decimal form rounded to nearest 5 decimals:

96.17692

Exponent Form
Square Root of 9250 written with Exponent instead of Radical:

9250^½ = 5 x 370^½

Simplify Square Root of 9251
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* List of Perfect Squares