Simplify Square Root of 6500

Here we will show you step-by-step how to simplify the square root of 6500. The square root of 6500 can be written as follows:


	√	6500

The √ symbol is called the radical sign. To simplify the square root of 6500 means to get the simplest radical form of √6500.

Step 1: List Factors
List the factors of 6500 like so:

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500

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

1, 4, 25, 100

Step 3: Divide
Divide 6500 by the largest perfect square you found in the previous step:

6500 / 100 = 65

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6500 in its simplest form:


10	√	65

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Decimal Form
Square Root of 6500 in Decimal form rounded to nearest 5 decimals:

80.62258

Exponent Form
Square Root of 6500 written with Exponent instead of Radical:

6500^½ = 10 x 65^½

Simplify Square Root of 6501
The answer to Simplify Square Root of 6500 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares