Simplify Square Root of 6489

Here we will show you step-by-step how to simplify the square root of 6489. The square root of 6489 can be written as follows:


	√	6489

The √ symbol is called the radical sign. To simplify the square root of 6489 means to get the simplest radical form of √6489.

Step 1: List Factors
List the factors of 6489 like so:

1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489

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

1, 9

Step 3: Divide
Divide 6489 by the largest perfect square you found in the previous step:

6489 / 9 = 721

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6489 in its simplest form:


3	√	721

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Decimal Form
Square Root of 6489 in Decimal form rounded to nearest 5 decimals:

80.55433

Exponent Form
Square Root of 6489 written with Exponent instead of Radical:

6489^½ = 3 x 721^½

Simplify Square Root of 6490
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* List of Perfect Squares