Simplify Square Root of 9536

Here we will show you step-by-step how to simplify the square root of 9536. The square root of 9536 can be written as follows:


	√	9536

The √ symbol is called the radical sign. To simplify the square root of 9536 means to get the simplest radical form of √9536.

Step 1: List Factors
List the factors of 9536 like so:

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

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

1, 4, 16, 64

Step 3: Divide
Divide 9536 by the largest perfect square you found in the previous step:

9536 / 64 = 149

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9536 in its simplest form:


8	√	149

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Decimal Form
Square Root of 9536 in Decimal form rounded to nearest 5 decimals:

97.65244

Exponent Form
Square Root of 9536 written with Exponent instead of Radical:

9536^½ = 8 x 149^½

Simplify Square Root of 9537
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* List of Perfect Squares