Simplify Square Root of 1728

Here we will show you step-by-step how to simplify the square root of 1728. The square root of 1728 can be written as follows:


	√	1728

The √ symbol is called the radical sign. To simplify the square root of 1728 means to get the simplest radical form of √1728.

Step 1: List Factors
List the factors of 1728 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 1728 by the largest perfect square you found in the previous step:

1728 / 576 = 3

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1728 in its simplest form:


24	√	3

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Decimal Form
Square Root of 1728 in Decimal form rounded to nearest 5 decimals:

41.56922

Exponent Form
Square Root of 1728 written with Exponent instead of Radical:

1728^½ = 24 x 3^½

Simplify Square Root of 1729
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* List of Perfect Squares