Simplify Square Root of 8144

Here we will show you step-by-step how to simplify the square root of 8144. The square root of 8144 can be written as follows:


	√	8144

The √ symbol is called the radical sign. To simplify the square root of 8144 means to get the simplest radical form of √8144.

Step 1: List Factors
List the factors of 8144 like so:

1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

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

1, 4, 16

Step 3: Divide
Divide 8144 by the largest perfect square you found in the previous step:

8144 / 16 = 509

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8144 in its simplest form:


4	√	509

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Decimal Form
Square Root of 8144 in Decimal form rounded to nearest 5 decimals:

90.24411

Exponent Form
Square Root of 8144 written with Exponent instead of Radical:

8144^½ = 4 x 509^½

Simplify Square Root of 8145
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* List of Perfect Squares