Simplify Square Root of 5120

Here we will show you step-by-step how to simplify the square root of 5120. The square root of 5120 can be written as follows:


	√	5120

The √ symbol is called the radical sign. To simplify the square root of 5120 means to get the simplest radical form of √5120.

Step 1: List Factors
List the factors of 5120 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120

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

1, 4, 16, 64, 256, 1024

Step 3: Divide
Divide 5120 by the largest perfect square you found in the previous step:

5120 / 1024 = 5

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

√1024 = 32

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5120 in its simplest form:


32	√	5

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Decimal Form
Square Root of 5120 in Decimal form rounded to nearest 5 decimals:

71.55418

Exponent Form
Square Root of 5120 written with Exponent instead of Radical:

5120^½ = 32 x 5^½

Simplify Square Root of 5121
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* List of Perfect Squares