Simplify Square Root of 1640

Here we will show you step-by-step how to simplify the square root of 1640. The square root of 1640 can be written as follows:


	√	1640

The √ symbol is called the radical sign. To simplify the square root of 1640 means to get the simplest radical form of √1640.

Step 1: List Factors
List the factors of 1640 like so:

1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640

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

1, 4

Step 3: Divide
Divide 1640 by the largest perfect square you found in the previous step:

1640 / 4 = 410

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 1640 in its simplest form:


2	√	410

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Decimal Form
Square Root of 1640 in Decimal form rounded to nearest 5 decimals:

40.49691

Exponent Form
Square Root of 1640 written with Exponent instead of Radical:

1640^½ = 2 x 410^½

Simplify Square Root of 1641
The answer to Simplify Square Root of 1640 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares