Simplify Square Root of 968

Here we will show you step-by-step how to simplify the square root of 968. The square root of 968 can be written as follows:


	√	968

The √ symbol is called the radical sign. To simplify the square root of 968 means to get the simplest radical form of √968.

Step 1: List Factors
List the factors of 968 like so:

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

1, 4, 121, 484

Step 3: Divide
Divide 968 by the largest perfect square you found in the previous step:

968 / 484 = 2

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 968 in its simplest form:


22	√	2

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Decimal Form
Square Root of 968 in Decimal form rounded to nearest 5 decimals:

31.1127

Exponent Form
Square Root of 968 written with Exponent instead of Radical:

968^½ = 22 x 2^½

Simplify Square Root of 969
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* List of Perfect Squares