Simplify Square Root of 243

Here we will show you step-by-step how to simplify the square root of 243. The square root of 243 can be written as follows:


	√	243

The √ symbol is called the radical sign. To simplify the square root of 243 means to get the simplest radical form of √243.

Step 1: List Factors
List the factors of 243 like so:

1, 3, 9, 27, 81, 243

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

1, 9, 81

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

243 / 81 = 3

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 243 in its simplest form:


9	√	3

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Decimal Form
Square Root of 243 in Decimal form rounded to nearest 5 decimals:

15.58846

Exponent Form
Square Root of 243 written with Exponent instead of Radical:

243^½ = 9 x 3^½

Simplify Square Root of 244
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* List of Perfect Squares