Simplify Square Root of 2560

Here we will show you step-by-step how to simplify the square root of 2560. The square root of 2560 can be written as follows:


	√	2560

The √ symbol is called the radical sign. To simplify the square root of 2560 means to get the simplest radical form of √2560.

Step 1: List Factors
List the factors of 2560 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 2560 by the largest perfect square you found in the previous step:

2560 / 256 = 10

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2560 in its simplest form:


16	√	10

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Decimal Form
Square Root of 2560 in Decimal form rounded to nearest 5 decimals:

50.59644

Exponent Form
Square Root of 2560 written with Exponent instead of Radical:

2560^½ = 16 x 10^½

Simplify Square Root of 2561
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* List of Perfect Squares