How do you simplify the square root of 243?

To simplify the square root of 243 means to get the simplest radical form of √243.

Step 1:
List the factors of 243 like so:

1, 3, 9, 27, 81, 243

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

1, 9, 81

Step 3:
Divide 243 by the largest perfect square you found in the previous step:

243 / 81 = 3

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

√81 = 9

Step 5:
Put Steps 3 and 4 together to get the square root of 243 in its simplest form:

9√3

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