Simplify Square Root of 1680

Here we will show you step-by-step how to simplify the square root of 1680. The square root of 1680 can be written as follows:


	√	1680

The √ symbol is called the radical sign. To simplify the square root of 1680 means to get the simplest radical form of √1680.

Step 1: List Factors
List the factors of 1680 like so:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680

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

1, 4, 16

Step 3: Divide
Divide 1680 by the largest perfect square you found in the previous step:

1680 / 16 = 105

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1680 in its simplest form:


4	√	105

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Decimal Form
Square Root of 1680 in Decimal form rounded to nearest 5 decimals:

40.9878

Exponent Form
Square Root of 1680 written with Exponent instead of Radical:

1680^½ = 4 x 105^½

Simplify Square Root of 1681
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* List of Perfect Squares