Simplify Square Root of 6480

Here we will show you step-by-step how to simplify the square root of 6480. The square root of 6480 can be written as follows:


	√	6480

The √ symbol is called the radical sign. To simplify the square root of 6480 means to get the simplest radical form of √6480.

Step 1: List Factors
List the factors of 6480 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480

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

1, 4, 9, 16, 36, 81, 144, 324, 1296

Step 3: Divide
Divide 6480 by the largest perfect square you found in the previous step:

6480 / 1296 = 5

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

√1296 = 36

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6480 in its simplest form:


36	√	5

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Decimal Form
Square Root of 6480 in Decimal form rounded to nearest 5 decimals:

80.49845

Exponent Form
Square Root of 6480 written with Exponent instead of Radical:

6480^½ = 36 x 5^½

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* List of Perfect Squares