Simplify Square Root of 8608

Here we will show you step-by-step how to simplify the square root of 8608. The square root of 8608 can be written as follows:


	√	8608

The √ symbol is called the radical sign. To simplify the square root of 8608 means to get the simplest radical form of √8608.

Step 1: List Factors
List the factors of 8608 like so:

1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608

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

1, 4, 16

Step 3: Divide
Divide 8608 by the largest perfect square you found in the previous step:

8608 / 16 = 538

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 8608 in its simplest form:


4	√	538

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Decimal Form
Square Root of 8608 in Decimal form rounded to nearest 5 decimals:

92.77931

Exponent Form
Square Root of 8608 written with Exponent instead of Radical:

8608^½ = 4 x 538^½

Simplify Square Root of 8609
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* List of Perfect Squares