Simplify Square Root of 7072

Here we will show you step-by-step how to simplify the square root of 7072. The square root of 7072 can be written as follows:


	√	7072

The √ symbol is called the radical sign. To simplify the square root of 7072 means to get the simplest radical form of √7072.

Step 1: List Factors
List the factors of 7072 like so:

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072

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

1, 4, 16

Step 3: Divide
Divide 7072 by the largest perfect square you found in the previous step:

7072 / 16 = 442

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 7072 in its simplest form:


4	√	442

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Decimal Form
Square Root of 7072 in Decimal form rounded to nearest 5 decimals:

84.09518

Exponent Form
Square Root of 7072 written with Exponent instead of Radical:

7072^½ = 4 x 442^½

Simplify Square Root of 7073
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* List of Perfect Squares