Simplify Square Root of 8192

Here we will show you step-by-step how to simplify the square root of 8192. The square root of 8192 can be written as follows:


	√	8192

The √ symbol is called the radical sign. To simplify the square root of 8192 means to get the simplest radical form of √8192.

Step 1: List Factors
List the factors of 8192 like so:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

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

1, 4, 16, 64, 256, 1024, 4096

Step 3: Divide
Divide 8192 by the largest perfect square you found in the previous step:

8192 / 4096 = 2

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

√4096 = 64

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8192 in its simplest form:


64	√	2

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Decimal Form
Square Root of 8192 in Decimal form rounded to nearest 5 decimals:

90.50967

Exponent Form
Square Root of 8192 written with Exponent instead of Radical:

8192^½ = 64 x 2^½

Simplify Square Root of 8193
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* List of Perfect Squares