Simplify Square Root of 7025

Here we will show you step-by-step how to simplify the square root of 7025. The square root of 7025 can be written as follows:


	√	7025

The √ symbol is called the radical sign. To simplify the square root of 7025 means to get the simplest radical form of √7025.

Step 1: List Factors
List the factors of 7025 like so:

1, 5, 25, 281, 1405, 7025

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

1, 25

Step 3: Divide
Divide 7025 by the largest perfect square you found in the previous step:

7025 / 25 = 281

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 7025 in its simplest form:


5	√	281

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

Decimal Form
Square Root of 7025 in Decimal form rounded to nearest 5 decimals:

83.81527

Exponent Form
Square Root of 7025 written with Exponent instead of Radical:

7025^½ = 5 x 281^½

Simplify Square Root of 7026
The answer to Simplify Square Root of 7025 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares