Simplify Square Root of 1683

Here we will show you step-by-step how to simplify the square root of 1683. The square root of 1683 can be written as follows:


	√	1683

The √ symbol is called the radical sign. To simplify the square root of 1683 means to get the simplest radical form of √1683.

Step 1: List Factors
List the factors of 1683 like so:

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

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

1, 9

Step 3: Divide
Divide 1683 by the largest perfect square you found in the previous step:

1683 / 9 = 187

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1683 in its simplest form:


3	√	187

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Decimal Form
Square Root of 1683 in Decimal form rounded to nearest 5 decimals:

41.02438

Exponent Form
Square Root of 1683 written with Exponent instead of Radical:

1683^½ = 3 x 187^½

Simplify Square Root of 1684
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* List of Perfect Squares