Simplify Square Root of 4864

Here we will show you step-by-step how to simplify the square root of 4864. The square root of 4864 can be written as follows:


	√	4864

The √ symbol is called the radical sign. To simplify the square root of 4864 means to get the simplest radical form of √4864.

Step 1: List Factors
List the factors of 4864 like so:

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 4864 by the largest perfect square you found in the previous step:

4864 / 256 = 19

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4864 in its simplest form:


16	√	19

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

Decimal Form
Square Root of 4864 in Decimal form rounded to nearest 5 decimals:

69.74238

Exponent Form
Square Root of 4864 written with Exponent instead of Radical:

4864^½ = 16 x 19^½

Simplify Square Root of 4865
The answer to Simplify Square Root of 4864 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares