Simplify Square Root of 9492

Here we will show you step-by-step how to simplify the square root of 9492. The square root of 9492 can be written as follows:


	√	9492

The √ symbol is called the radical sign. To simplify the square root of 9492 means to get the simplest radical form of √9492.

Step 1: List Factors
List the factors of 9492 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492

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

1, 4

Step 3: Divide
Divide 9492 by the largest perfect square you found in the previous step:

9492 / 4 = 2373

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9492 in its simplest form:


2	√	2373

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Decimal Form
Square Root of 9492 in Decimal form rounded to nearest 5 decimals:

97.4269

Exponent Form
Square Root of 9492 written with Exponent instead of Radical:

9492^½ = 2 x 2373^½

Simplify Square Root of 9493
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* List of Perfect Squares