Simplify Square Root of 9744

Here we will show you step-by-step how to simplify the square root of 9744. The square root of 9744 can be written as follows:


	√	9744

The √ symbol is called the radical sign. To simplify the square root of 9744 means to get the simplest radical form of √9744.

Step 1: List Factors
List the factors of 9744 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744

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

1, 4, 16

Step 3: Divide
Divide 9744 by the largest perfect square you found in the previous step:

9744 / 16 = 609

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 9744 in its simplest form:


4	√	609

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Decimal Form
Square Root of 9744 in Decimal form rounded to nearest 5 decimals:

98.7117

Exponent Form
Square Root of 9744 written with Exponent instead of Radical:

9744^½ = 4 x 609^½

Simplify Square Root of 9745
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* List of Perfect Squares