Simplify Square Root of 9440

Here we will show you step-by-step how to simplify the square root of 9440. The square root of 9440 can be written as follows:


	√	9440

The √ symbol is called the radical sign. To simplify the square root of 9440 means to get the simplest radical form of √9440.

Step 1: List Factors
List the factors of 9440 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440

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

1, 4, 16

Step 3: Divide
Divide 9440 by the largest perfect square you found in the previous step:

9440 / 16 = 590

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9440 in its simplest form:


4	√	590

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Decimal Form
Square Root of 9440 in Decimal form rounded to nearest 5 decimals:

97.15966

Exponent Form
Square Root of 9440 written with Exponent instead of Radical:

9440^½ = 4 x 590^½

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* List of Perfect Squares