Simplify Square Root of 6440

Here we will show you step-by-step how to simplify the square root of 6440. The square root of 6440 can be written as follows:


	√	6440

The √ symbol is called the radical sign. To simplify the square root of 6440 means to get the simplest radical form of √6440.

Step 1: List Factors
List the factors of 6440 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440

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

1, 4

Step 3: Divide
Divide 6440 by the largest perfect square you found in the previous step:

6440 / 4 = 1610

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 6440 in its simplest form:


2	√	1610

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Decimal Form
Square Root of 6440 in Decimal form rounded to nearest 5 decimals:

80.24961

Exponent Form
Square Root of 6440 written with Exponent instead of Radical:

6440^½ = 2 x 1610^½

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* List of Perfect Squares