Simplify Square Root of 9400

Here we will show you step-by-step how to simplify the square root of 9400. The square root of 9400 can be written as follows:


	√	9400

The √ symbol is called the radical sign. To simplify the square root of 9400 means to get the simplest radical form of √9400.

Step 1: List Factors
List the factors of 9400 like so:

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400

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

1, 4, 25, 100

Step 3: Divide
Divide 9400 by the largest perfect square you found in the previous step:

9400 / 100 = 94

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 9400 in its simplest form:


10	√	94

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Decimal Form
Square Root of 9400 in Decimal form rounded to nearest 5 decimals:

96.9536

Exponent Form
Square Root of 9400 written with Exponent instead of Radical:

9400^½ = 10 x 94^½

Simplify Square Root of 9401
The answer to Simplify Square Root of 9400 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares