Simplify Square Root of 1968

Here we will show you step-by-step how to simplify the square root of 1968. The square root of 1968 can be written as follows:


	√	1968

The √ symbol is called the radical sign. To simplify the square root of 1968 means to get the simplest radical form of √1968.

Step 1: List Factors
List the factors of 1968 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968

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

1, 4, 16

Step 3: Divide
Divide 1968 by the largest perfect square you found in the previous step:

1968 / 16 = 123

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1968 in its simplest form:


4	√	123

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Decimal Form
Square Root of 1968 in Decimal form rounded to nearest 5 decimals:

44.36215

Exponent Form
Square Root of 1968 written with Exponent instead of Radical:

1968^½ = 4 x 123^½

Simplify Square Root of 1969
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* List of Perfect Squares