Simplify Square Root of 9408

Here we will show you step-by-step how to simplify the square root of 9408. The square root of 9408 can be written as follows:


	√	9408

The √ symbol is called the radical sign. To simplify the square root of 9408 means to get the simplest radical form of √9408.

Step 1: List Factors
List the factors of 9408 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408

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

1, 4, 16, 49, 64, 196, 784, 3136

Step 3: Divide
Divide 9408 by the largest perfect square you found in the previous step:

9408 / 3136 = 3

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

√3136 = 56

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9408 in its simplest form:


56	√	3

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Decimal Form
Square Root of 9408 in Decimal form rounded to nearest 5 decimals:

96.99485

Exponent Form
Square Root of 9408 written with Exponent instead of Radical:

9408^½ = 56 x 3^½

Simplify Square Root of 9409
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* List of Perfect Squares