Simplify Square Root of 6625

Here we will show you step-by-step how to simplify the square root of 6625. The square root of 6625 can be written as follows:


	√	6625

The √ symbol is called the radical sign. To simplify the square root of 6625 means to get the simplest radical form of √6625.

Step 1: List Factors
List the factors of 6625 like so:

1, 5, 25, 53, 125, 265, 1325, 6625

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

1, 25

Step 3: Divide
Divide 6625 by the largest perfect square you found in the previous step:

6625 / 25 = 265

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 6625 in its simplest form:


5	√	265

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

Decimal Form
Square Root of 6625 in Decimal form rounded to nearest 5 decimals:

81.3941

Exponent Form
Square Root of 6625 written with Exponent instead of Radical:

6625^½ = 5 x 265^½

Simplify Square Root of 6626
The answer to Simplify Square Root of 6625 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares