Simplify Square Root of 7168

Here we will show you step-by-step how to simplify the square root of 7168. The square root of 7168 can be written as follows:


	√	7168

The √ symbol is called the radical sign. To simplify the square root of 7168 means to get the simplest radical form of √7168.

Step 1: List Factors
List the factors of 7168 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168

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

1, 4, 16, 64, 256, 1024

Step 3: Divide
Divide 7168 by the largest perfect square you found in the previous step:

7168 / 1024 = 7

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

√1024 = 32

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7168 in its simplest form:


32	√	7

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Decimal Form
Square Root of 7168 in Decimal form rounded to nearest 5 decimals:

84.66404

Exponent Form
Square Root of 7168 written with Exponent instead of Radical:

7168^½ = 32 x 7^½

Simplify Square Root of 7169
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* List of Perfect Squares