Simplify Square Root of 512

Here we will show you step-by-step how to simplify the square root of 512. The square root of 512 can be written as follows:


	√	512

The √ symbol is called the radical sign. To simplify the square root of 512 means to get the simplest radical form of √512.

Step 1: List Factors
List the factors of 512 like so:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 512 by the largest perfect square you found in the previous step:

512 / 256 = 2

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 512 in its simplest form:


16	√	2

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Decimal Form
Square Root of 512 in Decimal form rounded to nearest 5 decimals:

22.62742

Exponent Form
Square Root of 512 written with Exponent instead of Radical:

512^½ = 16 x 2^½

Simplify Square Root of 513
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* List of Perfect Squares