Simplify Square Root of 7500

Here we will show you step-by-step how to simplify the square root of 7500. The square root of 7500 can be written as follows:


	√	7500

The √ symbol is called the radical sign. To simplify the square root of 7500 means to get the simplest radical form of √7500.

Step 1: List Factors
List the factors of 7500 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500

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

1, 4, 25, 100, 625, 2500

Step 3: Divide
Divide 7500 by the largest perfect square you found in the previous step:

7500 / 2500 = 3

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

√2500 = 50

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7500 in its simplest form:


50	√	3

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

Decimal Form
Square Root of 7500 in Decimal form rounded to nearest 5 decimals:

86.60254

Exponent Form
Square Root of 7500 written with Exponent instead of Radical:

7500^½ = 50 x 3^½

Simplify Square Root of 7501
The answer to Simplify Square Root of 7500 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares