Simplify Square Root of 486

Here we will show you step-by-step how to simplify the square root of 486. The square root of 486 can be written as follows:


	√	486

The √ symbol is called the radical sign. To simplify the square root of 486 means to get the simplest radical form of √486.

Step 1: List Factors
List the factors of 486 like so:

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

1, 9, 81

Step 3: Divide
Divide 486 by the largest perfect square you found in the previous step:

486 / 81 = 6

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 486 in its simplest form:


9	√	6

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Decimal Form
Square Root of 486 in Decimal form rounded to nearest 5 decimals:

22.04541

Exponent Form
Square Root of 486 written with Exponent instead of Radical:

486^½ = 9 x 6^½

Simplify Square Root of 487
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* List of Perfect Squares