Simplify Square Root of 8460

Here we will show you step-by-step how to simplify the square root of 8460. The square root of 8460 can be written as follows:


	√	8460

The √ symbol is called the radical sign. To simplify the square root of 8460 means to get the simplest radical form of √8460.

Step 1: List Factors
List the factors of 8460 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460

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

1, 4, 9, 36

Step 3: Divide
Divide 8460 by the largest perfect square you found in the previous step:

8460 / 36 = 235

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 8460 in its simplest form:


6	√	235

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Decimal Form
Square Root of 8460 in Decimal form rounded to nearest 5 decimals:

91.97826

Exponent Form
Square Root of 8460 written with Exponent instead of Radical:

8460^½ = 6 x 235^½

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* List of Perfect Squares