Simplify Square Root of 9508

Here we will show you step-by-step how to simplify the square root of 9508. The square root of 9508 can be written as follows:


	√	9508

The √ symbol is called the radical sign. To simplify the square root of 9508 means to get the simplest radical form of √9508.

Step 1: List Factors
List the factors of 9508 like so:

1, 2, 4, 2377, 4754, 9508

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

1, 4

Step 3: Divide
Divide 9508 by the largest perfect square you found in the previous step:

9508 / 4 = 2377

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9508 in its simplest form:


2	√	2377

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Decimal Form
Square Root of 9508 in Decimal form rounded to nearest 5 decimals:

97.50897

Exponent Form
Square Root of 9508 written with Exponent instead of Radical:

9508^½ = 2 x 2377^½

Simplify Square Root of 9509
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* List of Perfect Squares