Simplify Square Root of 560

Here we will show you step-by-step how to simplify the square root of 560. The square root of 560 can be written as follows:


	√	560

The √ symbol is called the radical sign. To simplify the square root of 560 means to get the simplest radical form of √560.

Step 1: List Factors
List the factors of 560 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

1, 4, 16

Step 3: Divide
Divide 560 by the largest perfect square you found in the previous step:

560 / 16 = 35

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 560 in its simplest form:


4	√	35

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Decimal Form
Square Root of 560 in Decimal form rounded to nearest 5 decimals:

23.66432

Exponent Form
Square Root of 560 written with Exponent instead of Radical:

560^½ = 4 x 35^½

Simplify Square Root of 561
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* List of Perfect Squares