Simplify Square Root of 2968

Here we will show you step-by-step how to simplify the square root of 2968. The square root of 2968 can be written as follows:


	√	2968

The √ symbol is called the radical sign. To simplify the square root of 2968 means to get the simplest radical form of √2968.

Step 1: List Factors
List the factors of 2968 like so:

1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

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

1, 4

Step 3: Divide
Divide 2968 by the largest perfect square you found in the previous step:

2968 / 4 = 742

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 2968 in its simplest form:


2	√	742

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Decimal Form
Square Root of 2968 in Decimal form rounded to nearest 5 decimals:

54.47935

Exponent Form
Square Root of 2968 written with Exponent instead of Radical:

2968^½ = 2 x 742^½

Simplify Square Root of 2969
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* List of Perfect Squares