Simplify Square Root of 6460

Here we will show you step-by-step how to simplify the square root of 6460. The square root of 6460 can be written as follows:


	√	6460

The √ symbol is called the radical sign. To simplify the square root of 6460 means to get the simplest radical form of √6460.

Step 1: List Factors
List the factors of 6460 like so:

1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460

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

1, 4

Step 3: Divide
Divide 6460 by the largest perfect square you found in the previous step:

6460 / 4 = 1615

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6460 in its simplest form:


2	√	1615

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Decimal Form
Square Root of 6460 in Decimal form rounded to nearest 5 decimals:

80.37413

Exponent Form
Square Root of 6460 written with Exponent instead of Radical:

6460^½ = 2 x 1615^½

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* List of Perfect Squares