Simplify Square Root of 5696

Here we will show you step-by-step how to simplify the square root of 5696. The square root of 5696 can be written as follows:


	√	5696

The √ symbol is called the radical sign. To simplify the square root of 5696 means to get the simplest radical form of √5696.

Step 1: List Factors
List the factors of 5696 like so:

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

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

1, 4, 16, 64

Step 3: Divide
Divide 5696 by the largest perfect square you found in the previous step:

5696 / 64 = 89

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 5696 in its simplest form:


8	√	89

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

Decimal Form
Square Root of 5696 in Decimal form rounded to nearest 5 decimals:

75.47185

Exponent Form
Square Root of 5696 written with Exponent instead of Radical:

5696^½ = 8 x 89^½

Simplify Square Root of 5697
The answer to Simplify Square Root of 5696 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares