Simplify Square Root of 9648

Here we will show you step-by-step how to simplify the square root of 9648. The square root of 9648 can be written as follows:


	√	9648

The √ symbol is called the radical sign. To simplify the square root of 9648 means to get the simplest radical form of √9648.

Step 1: List Factors
List the factors of 9648 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 9648 by the largest perfect square you found in the previous step:

9648 / 144 = 67

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9648 in its simplest form:


12	√	67

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Decimal Form
Square Root of 9648 in Decimal form rounded to nearest 5 decimals:

98.22423

Exponent Form
Square Root of 9648 written with Exponent instead of Radical:

9648^½ = 12 x 67^½

Simplify Square Root of 9649
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* List of Perfect Squares