Simplify Square Root of 9126

Here we will show you step-by-step how to simplify the square root of 9126. The square root of 9126 can be written as follows:


	√	9126

The √ symbol is called the radical sign. To simplify the square root of 9126 means to get the simplest radical form of √9126.

Step 1: List Factors
List the factors of 9126 like so:

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126

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

1, 9, 169, 1521

Step 3: Divide
Divide 9126 by the largest perfect square you found in the previous step:

9126 / 1521 = 6

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

√1521 = 39

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9126 in its simplest form:


39	√	6

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Decimal Form
Square Root of 9126 in Decimal form rounded to nearest 5 decimals:

95.5301

Exponent Form
Square Root of 9126 written with Exponent instead of Radical:

9126^½ = 39 x 6^½

Simplify Square Root of 9127
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* List of Perfect Squares