Simplify Square Root of 432

Here we will show you step-by-step how to simplify the square root of 432. The square root of 432 can be written as follows:


	√	432

The √ symbol is called the radical sign. To simplify the square root of 432 means to get the simplest radical form of √432.

Step 1: List Factors
List the factors of 432 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 432 by the largest perfect square you found in the previous step:

432 / 144 = 3

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 432 in its simplest form:


12	√	3

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Decimal Form
Square Root of 432 in Decimal form rounded to nearest 5 decimals:

20.78461

Exponent Form
Square Root of 432 written with Exponent instead of Radical:

432^½ = 12 x 3^½

Simplify Square Root of 433
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* List of Perfect Squares