Simplify Square Root of 7220

Here we will show you step-by-step how to simplify the square root of 7220. The square root of 7220 can be written as follows:


	√	7220

The √ symbol is called the radical sign. To simplify the square root of 7220 means to get the simplest radical form of √7220.

Step 1: List Factors
List the factors of 7220 like so:

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220

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

1, 4, 361, 1444

Step 3: Divide
Divide 7220 by the largest perfect square you found in the previous step:

7220 / 1444 = 5

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

√1444 = 38

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7220 in its simplest form:


38	√	5

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Decimal Form
Square Root of 7220 in Decimal form rounded to nearest 5 decimals:

84.97058

Exponent Form
Square Root of 7220 written with Exponent instead of Radical:

7220^½ = 38 x 5^½

Simplify Square Root of 7221
The answer to Simplify Square Root of 7220 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares