Simplify Square Root of 9968

Here we will show you step-by-step how to simplify the square root of 9968. The square root of 9968 can be written as follows:


	√	9968

The √ symbol is called the radical sign. To simplify the square root of 9968 means to get the simplest radical form of √9968.

Step 1: List Factors
List the factors of 9968 like so:

1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968

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

1, 4, 16

Step 3: Divide
Divide 9968 by the largest perfect square you found in the previous step:

9968 / 16 = 623

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 9968 in its simplest form:


4	√	623

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 9968 in Decimal form rounded to nearest 5 decimals:

99.83987

Exponent Form
Square Root of 9968 written with Exponent instead of Radical:

9968^½ = 4 x 623^½

Simplify Square Root of 9969
The answer to Simplify Square Root of 9968 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares