Simplify Square Root of 1992

Here we will show you step-by-step how to simplify the square root of 1992. The square root of 1992 can be written as follows:


	√	1992

The √ symbol is called the radical sign. To simplify the square root of 1992 means to get the simplest radical form of √1992.

Step 1: List Factors
List the factors of 1992 like so:

1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992

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

1, 4

Step 3: Divide
Divide 1992 by the largest perfect square you found in the previous step:

1992 / 4 = 498

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1992 in its simplest form:


2	√	498

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Decimal Form
Square Root of 1992 in Decimal form rounded to nearest 5 decimals:

44.63183

Exponent Form
Square Root of 1992 written with Exponent instead of Radical:

1992^½ = 2 x 498^½

Simplify Square Root of 1993
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* List of Perfect Squares