Simplify Square Root of 280

Here we will show you step-by-step how to simplify the square root of 280. The square root of 280 can be written as follows:


	√	280

The √ symbol is called the radical sign. To simplify the square root of 280 means to get the simplest radical form of √280.

Step 1: List Factors
List the factors of 280 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

1, 4

Step 3: Divide
Divide 280 by the largest perfect square you found in the previous step:

280 / 4 = 70

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 280 in its simplest form:


2	√	70

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Decimal Form
Square Root of 280 in Decimal form rounded to nearest 5 decimals:

16.7332

Exponent Form
Square Root of 280 written with Exponent instead of Radical:

280^½ = 2 x 70^½

Simplify Square Root of 281
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* List of Perfect Squares