Simplify Square Root of 7216

Here we will show you step-by-step how to simplify the square root of 7216. The square root of 7216 can be written as follows:


	√	7216

The √ symbol is called the radical sign. To simplify the square root of 7216 means to get the simplest radical form of √7216.

Step 1: List Factors
List the factors of 7216 like so:

1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216

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

1, 4, 16

Step 3: Divide
Divide 7216 by the largest perfect square you found in the previous step:

7216 / 16 = 451

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 7216 in its simplest form:


4	√	451

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Decimal Form
Square Root of 7216 in Decimal form rounded to nearest 5 decimals:

84.94704

Exponent Form
Square Root of 7216 written with Exponent instead of Radical:

7216^½ = 4 x 451^½

Simplify Square Root of 7217
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* List of Perfect Squares