Simplify Square Root of 5888

Here we will show you step-by-step how to simplify the square root of 5888. The square root of 5888 can be written as follows:


	√	5888

The √ symbol is called the radical sign. To simplify the square root of 5888 means to get the simplest radical form of √5888.

Step 1: List Factors
List the factors of 5888 like so:

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 5888 by the largest perfect square you found in the previous step:

5888 / 256 = 23

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 5888 in its simplest form:


16	√	23

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

Decimal Form
Square Root of 5888 in Decimal form rounded to nearest 5 decimals:

76.7333

Exponent Form
Square Root of 5888 written with Exponent instead of Radical:

5888^½ = 16 x 23^½

Simplify Square Root of 5889
The answer to Simplify Square Root of 5888 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares