Simplify Square Root of 9632

Here we will show you step-by-step how to simplify the square root of 9632. The square root of 9632 can be written as follows:


	√	9632

The √ symbol is called the radical sign. To simplify the square root of 9632 means to get the simplest radical form of √9632.

Step 1: List Factors
List the factors of 9632 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632

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

1, 4, 16

Step 3: Divide
Divide 9632 by the largest perfect square you found in the previous step:

9632 / 16 = 602

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 9632 in its simplest form:


4	√	602

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Decimal Form
Square Root of 9632 in Decimal form rounded to nearest 5 decimals:

98.14275

Exponent Form
Square Root of 9632 written with Exponent instead of Radical:

9632^½ = 4 x 602^½

Simplify Square Root of 9633
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* List of Perfect Squares