Simplify Square Root of 9488

Here we will show you step-by-step how to simplify the square root of 9488. The square root of 9488 can be written as follows:


	√	9488

The √ symbol is called the radical sign. To simplify the square root of 9488 means to get the simplest radical form of √9488.

Step 1: List Factors
List the factors of 9488 like so:

1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

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

1, 4, 16

Step 3: Divide
Divide 9488 by the largest perfect square you found in the previous step:

9488 / 16 = 593

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 9488 in its simplest form:


4	√	593

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Decimal Form
Square Root of 9488 in Decimal form rounded to nearest 5 decimals:

97.40637

Exponent Form
Square Root of 9488 written with Exponent instead of Radical:

9488^½ = 4 x 593^½

Simplify Square Root of 9489
The answer to Simplify Square Root of 9488 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares