Simplify Square Root of 8075

Here we will show you step-by-step how to simplify the square root of 8075. The square root of 8075 can be written as follows:


	√	8075

The √ symbol is called the radical sign. To simplify the square root of 8075 means to get the simplest radical form of √8075.

Step 1: List Factors
List the factors of 8075 like so:

1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075

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

1, 25

Step 3: Divide
Divide 8075 by the largest perfect square you found in the previous step:

8075 / 25 = 323

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8075 in its simplest form:


5	√	323

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

Decimal Form
Square Root of 8075 in Decimal form rounded to nearest 5 decimals:

89.861

Exponent Form
Square Root of 8075 written with Exponent instead of Radical:

8075^½ = 5 x 323^½

Simplify Square Root of 8076
The answer to Simplify Square Root of 8075 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares