Simplify Square Root of 5675

Here we will show you step-by-step how to simplify the square root of 5675. The square root of 5675 can be written as follows:


	√	5675

The √ symbol is called the radical sign. To simplify the square root of 5675 means to get the simplest radical form of √5675.

Step 1: List Factors
List the factors of 5675 like so:

1, 5, 25, 227, 1135, 5675

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

1, 25

Step 3: Divide
Divide 5675 by the largest perfect square you found in the previous step:

5675 / 25 = 227

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 5675 in its simplest form:


5	√	227

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

Decimal Form
Square Root of 5675 in Decimal form rounded to nearest 5 decimals:

75.3326

Exponent Form
Square Root of 5675 written with Exponent instead of Radical:

5675^½ = 5 x 227^½

Simplify Square Root of 5676
The answer to Simplify Square Root of 5675 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares