Simplify Square Root of 9460

Here we will show you step-by-step how to simplify the square root of 9460. The square root of 9460 can be written as follows:


	√	9460

The √ symbol is called the radical sign. To simplify the square root of 9460 means to get the simplest radical form of √9460.

Step 1: List Factors
List the factors of 9460 like so:

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460

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

1, 4

Step 3: Divide
Divide 9460 by the largest perfect square you found in the previous step:

9460 / 4 = 2365

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 9460 in its simplest form:


2	√	2365

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Decimal Form
Square Root of 9460 in Decimal form rounded to nearest 5 decimals:

97.26253

Exponent Form
Square Root of 9460 written with Exponent instead of Radical:

9460^½ = 2 x 2365^½

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* List of Perfect Squares