Simplify Square Root of 7024

Here we will show you step-by-step how to simplify the square root of 7024. The square root of 7024 can be written as follows:


	√	7024

The √ symbol is called the radical sign. To simplify the square root of 7024 means to get the simplest radical form of √7024.

Step 1: List Factors
List the factors of 7024 like so:

1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

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

1, 4, 16

Step 3: Divide
Divide 7024 by the largest perfect square you found in the previous step:

7024 / 16 = 439

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 7024 in its simplest form:


4	√	439

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Decimal Form
Square Root of 7024 in Decimal form rounded to nearest 5 decimals:

83.80931

Exponent Form
Square Root of 7024 written with Exponent instead of Radical:

7024^½ = 4 x 439^½

Simplify Square Root of 7025
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* List of Perfect Squares