Simplify Square Root of 9664

Here we will show you step-by-step how to simplify the square root of 9664. The square root of 9664 can be written as follows:


	√	9664

The √ symbol is called the radical sign. To simplify the square root of 9664 means to get the simplest radical form of √9664.

Step 1: List Factors
List the factors of 9664 like so:

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

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

1, 4, 16, 64

Step 3: Divide
Divide 9664 by the largest perfect square you found in the previous step:

9664 / 64 = 151

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 9664 in its simplest form:


8	√	151

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Decimal Form
Square Root of 9664 in Decimal form rounded to nearest 5 decimals:

98.30565

Exponent Form
Square Root of 9664 written with Exponent instead of Radical:

9664^½ = 8 x 151^½

Simplify Square Root of 9665
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* List of Perfect Squares