Simplify Square Root of 4928

Here we will show you step-by-step how to simplify the square root of 4928. The square root of 4928 can be written as follows:


	√	4928

The √ symbol is called the radical sign. To simplify the square root of 4928 means to get the simplest radical form of √4928.

Step 1: List Factors
List the factors of 4928 like so:

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928

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

1, 4, 16, 64

Step 3: Divide
Divide 4928 by the largest perfect square you found in the previous step:

4928 / 64 = 77

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4928 in its simplest form:


8	√	77

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

Decimal Form
Square Root of 4928 in Decimal form rounded to nearest 5 decimals:

70.19972

Exponent Form
Square Root of 4928 written with Exponent instead of Radical:

4928^½ = 8 x 77^½

Simplify Square Root of 4929
The answer to Simplify Square Root of 4928 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares