Simplify Square Root of 2816

Here we will show you step-by-step how to simplify the square root of 2816. The square root of 2816 can be written as follows:


	√	2816

The √ symbol is called the radical sign. To simplify the square root of 2816 means to get the simplest radical form of √2816.

Step 1: List Factors
List the factors of 2816 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 2816 by the largest perfect square you found in the previous step:

2816 / 256 = 11

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 2816 in its simplest form:


16	√	11

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Decimal Form
Square Root of 2816 in Decimal form rounded to nearest 5 decimals:

53.066

Exponent Form
Square Root of 2816 written with Exponent instead of Radical:

2816^½ = 16 x 11^½

Simplify Square Root of 2817
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* List of Perfect Squares