Simplify Square Root of 9144

Here we will show you step-by-step how to simplify the square root of 9144. The square root of 9144 can be written as follows:


	√	9144

The √ symbol is called the radical sign. To simplify the square root of 9144 means to get the simplest radical form of √9144.

Step 1: List Factors
List the factors of 9144 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144

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

1, 4, 9, 36

Step 3: Divide
Divide 9144 by the largest perfect square you found in the previous step:

9144 / 36 = 254

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9144 in its simplest form:


6	√	254

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Decimal Form
Square Root of 9144 in Decimal form rounded to nearest 5 decimals:

95.62426

Exponent Form
Square Root of 9144 written with Exponent instead of Radical:

9144^½ = 6 x 254^½

Simplify Square Root of 9145
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* List of Perfect Squares