Simplify Square Root of 4968

Here we will show you step-by-step how to simplify the square root of 4968. The square root of 4968 can be written as follows:


	√	4968

The √ symbol is called the radical sign. To simplify the square root of 4968 means to get the simplest radical form of √4968.

Step 1: List Factors
List the factors of 4968 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968

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

1, 4, 9, 36

Step 3: Divide
Divide 4968 by the largest perfect square you found in the previous step:

4968 / 36 = 138

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4968 in its simplest form:


6	√	138

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

Decimal Form
Square Root of 4968 in Decimal form rounded to nearest 5 decimals:

70.48404

Exponent Form
Square Root of 4968 written with Exponent instead of Radical:

4968^½ = 6 x 138^½

Simplify Square Root of 4969
The answer to Simplify Square Root of 4968 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares